Geometry 2-B



Name:__________________________________ Hr: ______Geometry – Semester Exam ReviewGET ORGANIZED. Successful studying begins with being organized. Bring this packet with you to class every day. Go through your folders and find all of the quiz and test reviews that we have been doing all semester. Use them to help you with each chapter.DO NOT FALL BEHIND. Do the problems that are assigned every night and come to class prepared to ask about the things you could not do.GET SERIOUS. The grade you earn on this exam is worth 20% of your semester grade.MAKE NOTES AS YOU WORK. As you do these problems, you will come across formulas, definitions, problems, and diagrams that you will want to put on your notecard. NOTECARD: Your notecard must be in your own writing. You may put on it anything you think will help you on the exam. You may use the front and back. You will turn it in with your exam.There is nothing on the exam that you have not studied this year.I will be checking your review packet along the way so make sure you are keeping up with the work!Midterm Review AssignmentsDateAssignment 1st Hour Exam: Tuesday, January 26th 8:00 – 9:30 3rd Hour Exam: Friday, January 29th 8: 00 – 9:30Geometry - Ch. 1 ReviewName: _________________________MATCHING...Answers will be used more than once. 1. _______ Like a dot. Indicates a location. 2. _______ Flat, goes forever in all directions. 3. _______ Has two endpoints. A piece of a line. 4. _______ Straight, goes forever in two directions. 5. _______ Starts at one point and goes forever in one direction. 6. _______ Two points determine a _______. 7. _______ Three non-collinear points determine a ___. 8. _______ Points on the same line are ____.19716758572500 9. _______ Points on the same plane are ____.10. _______ Two lines intersect in a ____.2099945317511. _______ Two planes intersect in a ____.12. _______ Two lines that never intersect are ______.13. _______ Segments with the same length are ____.14. _______ Two little segments add up to the big segment. 15. _______ Two little angles add up to the big angle. 16. _______ Angle that measures exactly 9017. _______ Angle that measures less than 9018. _______ Angle that is more than 90 but less than 18019. _______ Angle that measures exactly 18020. _______ Unit of measure to measure angles21. _______ Instrument used to measure angles22. _______ The sides of an angle are called ______.A. Collinear B. Coplanar C. Line D. PlaneE. PointF. Ray(s)G. SegmentH. CongruentI. ParallelJ. Segment Addition PostulateK. Angle Addition PostulateL. Acute M. DegreeN. Obtuse O. ProtractorP. Right Q. Straight Fill in the blank with the correct word. 23. How many endpoints are on a line? ___________on a segment?___________on a ray? ___________on a plane?___________24. Do we ever use three letters to name a segment, line or ray? __________ Careful...this is a common error on the test!25. When naming a ray, which letter always goes first? __________________ 26. How many lines can you draw through one point? _________ picture: 27. What about two points? _________ picture:Use the diagram to name the following. Use proper notation!51174651282700028. In the diagram, name two different rays that go through point A __________________________29. Now, state two different ways to name the ray having endpoint A __________________________ 30. List three points __________________________ 31. How many points are on this line? ____________55092241525232. List three different segments ________________ 33. Name the longest segment ________34. List three different ways to name this line __________________35. Use the next picture to name the plane two different ways ___________________________36. List three points on this plane ________________37. How many points are on this plane? _____________________528885547659Use the diagram to determine if these are the same. Answer yes or no.566767512805438. and _____ 39. and _____40. and _____ 41. and _____ Use the diagram to name the intersection of each pair of lines. 42. and _____43. and _____ 44. and _____ 45. and ______ * 496922912844346. The name for two coplanar lines that do not intersect is _____________ Are B, C and D collinear? ____C, F, D? ______Use the diagrams to name the intersection of each pair of planes. 47. R and S _______ 48. U and T _______ 49. R and T _______ 50. R and U _______33045409842551. Since R and U don’t intersect, they are called ______________52. In the next picture, the plane that contains lines a and b is______ 355663550800.B00.B53. The intersection of planes P and S ____________54. How many points are in the intersection of these planes? _______Are K, F, Q, and D coplanar? _______ Are B, F, Q and D coplanar? ____5194935577855x - 1005x - 1289877526035402500402551949352603500Use the Segment Addition Postulate to find each length.2743203492522002255. 56.57.5189220698503x - 4003x - 4279463512573000NQ = ___________GH= ___________XZ = ___________127635501652x - 4002x - 458.59.60. RT = ___________LM = ___________FG = ___________2076451231902700275194935825508x + 9008x + 9279463582550320032530923512319000Use the Segment Addition Postulate to write an ALGEBRAIC EQUATION. Then, solve the equation for x.3023235482600061.62. 63. Equation____________________________________Equation____________________________________Equation____________________________________x = ___________x = ___________x = ___________494538011366500Use the pictures to match two PAIRS of congruent segments. Use the correct notation to write a congruence statement.2223135203200064. Congruence statement pairs:5800090116840005736590116840005673090116840003958590203200042316407810500 ________________________530923546990 00 52101754699000587629092075006073140129540K00K5565140129540J00J ________________________ 33528088265Given the picture, state the measure of each angle or write the measure in the proper location on the diagram.65. _________7810507493066. __________ _____327588184767. 336552349568. 1194435107950Find the measure of each angle using addition or subtraction. 69. m RSP = 20 m PST = 30 m RST = _______70. m ABD = 120106235518415 mABC = 35 m CBD = _______11074409842571. m TOS = 150 m TOR = _________ m SOR = _______946785-63572. m EFH =15m EFG = _________m HFG = _______10759669304173. m PQR = 23m PQS = _____m RQS= _______11862798984174. m RQS = 57m PQS = _____m PQR = _______579945584455Now write an ALGEBRAIC EXPRESSION for the given angle. 13963657239075. m ADC= __________ 76. m NRQ= ____________542236461414Now write an ALGEBRAIC EQUATION for the given angle and solve.158623063577. mKLM = _________78. m VRS= _______ Equation: ________________________________Equation: _______________________________x = _________x = _________m KLN = _______ m NLM= _______m VRT = _______ m TRS = _______1061765495779.1077582045280.203555205481.79.80.81.106177-53982. 1595174259383.277520-502984.82.83.84.1924414869085.107758-306786.1485901079587.85.86.87.Geometry - Ch. 2 ReviewName: ____________________________5282565154305Terms:Complementary AnglesSupplementary AnglesMidpointAdjacent AnglesSegment BisectorAngle BisectorLinear PairVertical AnglesInductive ReasoningDeductive Reasoning020000Terms:Complementary AnglesSupplementary AnglesMidpointAdjacent AnglesSegment BisectorAngle BisectorLinear PairVertical AnglesInductive ReasoningDeductive ReasoningFill in the blank with the missing term.1. Two angles that add up to 180°._____________2. Ray that divides an angle into two congruent angles.__________3. A segment, line, ray or plane that intersects a segment at its midpoint.______________4. The point right in the middle of a segment.__________5. Two angles that add up to 90°. ___________6. Two angles that make a straight line. __________7. Angles next to each other that share a common side and vertex. ____________8. Angles across from each other that are always equal. _________9. When a conclusion is reached based on FACTS. __________10. When a conclusion is reached based on a PATTERN. ____________11. Draw the midpoint of AB and label it X, then name the resulting congruent segments.The congruent segments are:__________A segment has _____ midpoint(s).12. M is the midpoint of JK. Write an equation, solve for x, and find the indicated lengths.x= _______ JM= _________ MK=________13. Use the Midpoint Formula to find the coordinate of the midpoint.(-7, 5) and (5, 3)Midpoint: ( , )14. Draw and label three bisectors of this segment.A segment has _____ bisectors15. Notice the bisector and corresponding tick marks. Find the indicated lengths.CB= _________ AB=__________16. Notice the bisector and corresponding tick marks. Find the indicated lengths. AC = 150 yardsAB= ___________ BC=___________3649692178217. Name the bisector of this angle. _______Name the congruent angles: ________104076514224018. BD bisects ∠ABCm∠1 = 56° m∠2=_________m∠ABC= _________116586014224019. YA bisects ∠XYZm∠XYZ = 56° m∠1=_________m∠2= _________108096131641020. Given that BD is the bisector of ∠ABC, write an ALGEBRAIC EQUATION and solve.Y=______m∠ABD=_______ m∠ABC=_____97507231641021. Given that WZ is the bisector of ∠XWY, write an ALGEBRAIC EQUATION and solve.x=______m∠XWZ=_______ m∠ZWY=_____82042022987022. Name the adjacent angles in this picture.Adjacent angles:_________23. 15°Complement:Supplement:24. 172°Complement:Supplement:3471413033625.These angles add up to ______ m∠1=_____2344233033626.These angles add up to ______ m∠1=_____554751820927. These angles are ____________ m∠1=_____209119370328. m∠1=_______ m∠2=_______ m∠3=______1438275317529.m∠1=_______ m∠2=_______m∠3=_______ m∠4=_______13982702349530.m∠1 = ______ m∠2=______m∠3 = ______ m∠4=______236572219637131. Determine whether the angles are vertical, complementary, supplementary or none of these.∠4 and ∠5 _________________∠2 and ∠4 _________________ ∠3 and ∠4 _________________∠1 and ∠3 _________________Given the picture, write an ALGEBRAIC EQUATION and solve for x.112409314966832. These angles add up to _____Equation:x= _____ m∠ABD=______ m∠DBC=______76983625318533. These angles add are_____Equation:x = _______76926114966834. These angles add up to _____Equation:x = _______Underline the hypothesis once, and circle the conclusion.35. If I pass my driver’s test, then I will get my license.36. If this is Homecoming Week, then there will be an assembly on Friday.Decide whether this is an example of inductive or deductive reasoning.37. The sun is a star, the sun has planets; therefore some stars have planets.38. There has been a float party every night this week, therefore tonight will be a float party.Give a counterexample to show that each statement is false.39. All GP students are sophomores. _______________________________________________40. All quadrilaterals are rectangles. ________________________________________________Write next three numbers in the pattern41. -5, -1, 3, 7, ______, _______, _______42. 2, 3, 5, 8, 12, ______, ______, ______43. Conditional: If a quadrilateral has four right angles, then it is a rectangle.Converse: __________________________________________________________________________ True or FalseInverse: __________________________________________________________________________ True or FalseContrapositive: __________________________________________________________________________ True or FalseWhat can you conclude from the trueWrite a single if-then statement that follows from the Statements below?pair of true statements below.44. If you wash your cotton t-shirt in hot water, 45. If the ball is thrown at a window,It will shrink. You wash your cotton t-shirt in hot water. it will hit the window. If the ball hits the window, then the window will break. Therefore, _________________________________ ______________________________________________46. Multiple Choice: What is the next figure in this pattern?2452562179321 4811395-8128000Geometry – Ch. 3 Review Name _______________________________State the following using the picture. Don’t forget to use angle symbols! 1. Four interior angles ________, ________, ________, ________570865045085003519170208915002137410208915002. Four exterior angles ________, ________, ________, ________3519170267335002185670267335003. Two pairs of alternate interior angles _______ & _______, and _______ & _______3085465275590004182745275590005469890226695002018665275590004. Two pairs of alternate exterior angles _______ & ______ , and _______ & _______5191760237490003850005291465002761615291465001724025291465005. Four pairs of corresponding angles _______ & ______, _______ & _______, _______ & _______, and _______ & ______6. Four pairs of vertical angles _______ & _______, _______ & _______, _______ & _______, and _______ & _______541274013335A. alternate interiorB. same-side interior C. alternate exterior D. same-side exteriorE. correspondingF. verticalG. linear pair00A. alternate interiorB. same-side interior C. alternate exterior D. same-side exteriorE. correspondingF. verticalG. linear pair3272790189865rsml00rsmlChoose the letter that shows the correct relationship between the angle pairs. 7. 3 and 9 ____ 8. 1 and 12 ______ 9. 8 and 13 ____ 10. 2 and 10 ______11. 5 and 7 ____ 12. 6 and 16 ______13. 1 and 2 ____ 14. 5 and 13 ______15. 10 and 16 ____ 16. 13 and 15 ______Describe the relationship between the pairs of angles by circling the word that makes the sentence true.17. If lines are parallel, then ….the alternate interior angles are: congruent supplementary the corresponding angles are: congruent supplementary the same side interior angles are: congruent supplementary18. Vertical angles are always congruent supplementary even if the lines are not parallel.19. Angles that are a linear pair are always congruent supplementary even if the lines are not parallel.389128012954040004057683401060457080007080Find the measure of all the angles shown in the picture. 197167541275 15000 1502921005207050005020.21.22.23.1079500880745600060-1206510528300088709510528300012954059563000186690152400048577513081030003019405609398086931513081040045832475165104200426450965165102002576834063500003800475165106289040546100024. 25. JKLM is a parallelogram26.27. 459930523495 This is a trapezoid.00 This is a trapezoid.968375234953003434975234951001813435374650047796456731000186690336552002645096531751001585787524765510051629729545720001 _____ 2 _____ K _____ L _____ H _____ F _____ 1 _____ 2 _____ 3 _____ 4 _____ M _____ 2703195400055187315104775010477528. ROCK is a parallelogram29. STAR is a parallelogram 30. PLAY is a parallelogram O ______ C ______ R ______ A ______ 1 ______ PLA ______ K ______ S ______ 2 ______ 3 ______ 5093970234952962910-3175-5588014097031. SONG is a parallelogram32.33. 3867785160655 Hint: There are 180 in a triangle!00 Hint: There are 180 in a triangle! 1 ______ 2 ______ SGN ______ 1 ______ 2 ______ 1 ______ 2 ______ 3 ______ 4 ______ 3 ______ 4 ______ 5 _______ 3 ______ 4 ______ 56534055905542805351270002922270146685147510512700093345114300State the type of angles shown and find the measure of 1. 34. 35. 36. 37. 38. Type of angles ______________Type of angles ______________Type of angles ______________Type of angles ______________Type of angles ______________1 ______ 1 ______ 1 ______ 1 ______ 1 ______ 2967990153670933451327155193665102870Use the relationship between the angles given to write an equation and solve for x. 39.40. 41. Type of angles _______________________Type of angles _______________________Type of angles ____________________Relationship: congruent or supplementaryRelationship: congruent or supplementaryRelationship: congruent or supplementaryEquation:Equation:Equation:x = ________x = ________x = ________239014059055615956223047471891817542.43. 44. Relationship: congruent or supplementaryRelationship: congruent or supplementaryRelationship: complementary or supplementaryEquation:Equation:Equation:x = ________x = ________x = ________45. The SYMBOL for Parallel is: ____________ The SYMBOL for Perpendicular is __________Determine whether enough information is given to conclude that the lines are parallel. If so, state the reason. Choices are:Alternate Interior Angles Converse (AIA)Alternate Exterior Angles Converse (AEA)Same-Side Interior Angles Converse (SSI)Corresponding Angles Converse (CA)Not enough proof that the lines are parallel.58242201136654040004040445706510604518859510604517011658636031165804445046. 47. 48. 49. 50. 179133533020132。00132。23901403302000231267064770005349875113665m00m575627586995n00nCircle the segments or lines that must be parallel. 526097512890588。0088。5861685311150055048153111500191135inside29317953111551. 52. 53.621411031750x00x52609758699588。0088。56191158699587。0087。50476154381500621411044450y00y5047615190500Choices: Choices: Choices: Fill in the blank with PARALLEL, PERPENDICULAR, or INTERSECTING to make each statement true. 29317958890054. Line q is ____________________ to line r55. Line p is ____________________ to line r56. Line p is ____________________ to line q57. Line p is ____________________ to line s451231033020Consider each segment in the diagram at the right as part of a line. Complete the statement.58. Name three segments parallel to. ____________________________59. Name four segments that intersect . __________________________60. Name four segments skew to. _______________________________Complete the theorems about parallel, perpendicular and skew lines.5343525101600Choices:CONGRUENTINTERSECTPARALLELPLANERIGHTRIGHT ANGLES00Choices:CONGRUENTINTERSECTPARALLELPLANERIGHTRIGHT ANGLES61. All right angles are _________________.62. If two lines are perpendicular, then they intersect to form four _________________.63. Two lines are parallel lines if they lie in the same plane and do not _________________.64. Two lines are perpendicular lines if they intersect to form a _________________ angle.65. Two lines are skew lines if they do not lie in the same _________________ and do not intersect.66. Two planes are _________________ planes if they do not intersect.67. Draw a segment through Z parallel to \* mergeformat (symbols!) 68. Draw a segment through Z perpendicular to \* mergeformat(symbols!)328231554610JK·Z00JK·Z-12509554610JK·Z00JK·ZFill in the blank with a number.69. Parallel Postulate If there is a line and a point not on the line, then there is exactly _________ line through the point parallel to the given line.70. Perpendicular Postulate If there is a line and a point not on the line, then there is exactly _________ line through the point perpendicular to the given line.Describe the relationship between the lines shown. (intersecting, parallel, skew)54629051022352799080128905-33020102235403161512890571. lines w and k72. lines j and k73. lines m and k74. lines u and w75. lines m and n147955051435Geometry Chapter 4 ReviewName:__________________________________________MATCH each type of triangle with its definition. Equilateral Triangle _____ Isosceles Triangle _____ Scalene Triangle _____Equiangular Triangle _____Acute Triangle _____Right Triangle _____Obtuse Triangle _____A. Triangle with one right angle. B. Triangle with all (3) equal sides.C. Triangle with all (3) equal angles.D. Triangle with three acute angles.E. Triangle with one obtuse angle.F. Triangle with two equal sides. G. Triangle with no equal sides. 565404017589538417501041401885950104140209550104140Classify the triangle by its sides.1. 2. 3. 4. 56578503175039116009525020955031750Classify the triangle by its angles.202565088905. 6.7. 8. 209550121920579755043815Classify the triangle by its angles AND sides.391160057785201930044459. 10. 11.12. Sides: equilateral isosceles scaleneSides: equilateral isosceles scaleneSides: equilateral isosceles scaleneSides: equilateral isosceles scaleneAngles: acute obtuse equiangular rightAngles: acute obtuse equiangular rightAngles: acute obtuse equiangular right Angles: acute obtuse equiangular rt.42926006985551497512192036766560325Identify the side opposite each angle. Use the picture to name the following. Name the equal sides and equal angles in each picture.2095500-635 13. 14. 15. 16. Side opposite X: ________Side opposite Y: ________ Legs______________ Base _______Equal sides: _______________ Equal sides: _______________Side opposite Z: ________Vertex angle _______ Base angles ___________Equal angles: ______________ Equal angles: ______________ 55816501270*Use correct notation!2768601143000Using ABC, name the following. 17. The interior angles of this triangle are ____________________The sum of the interior angles is ______ degrees.18. The exterior angle of this triangle is _______ The adjacent interior angle (next to the exterior angle) is _______19. The exterior and the adjacent interior angle add up to ______degrees. The remote interior angles shown are ___________523875057150356235022987020. The sum of the remote interior angles is equal to ______________________________ Find the measure of each angle.-698508191517462505778521. m1 = ______ 22. m1 = ______ 23. m1 = ______ 24. m1= ______ m2= ______ 2540117475175895021209049536351174753387725118745 Each angle in an equiangular triangle is ____ degrees.m3= _____25. m1 = _____ m2 = _____26. m1 = _____ 27. m1= ____ 28. m1 = ____ m2= ______ m3= ______ m4= ______ m5= ______39116000165735-31752025650-8064555880000 29. x = _____30. x = _____31. m1 = _____ m2 = _____ 32. m1 = _____ m2 = ____1974215381035814022225384175037465544830022225 471678015875033. m8 = ______ m9 = ______ 34. m3 = ______ m4 = ______ 35. m2 = ______m1 = ______ 36. m1= ______m2 = _____2584450175260 m5 = ______279400102870Write an algebraic equation for each triangle and solve for x. 37.38.39.Equation:Equation:Equation:471678012827025304757683516573576835x = _______x = _______x = _______40.41.42. Equation: Equation: Equation: y = ______x = ______x = ______State the Pythagorean Theorem:___________________ What is it used for?__________________________________________471678050800x00xUse the Pythagorean Theorem to find the following missing side. An equation must be given! Round decimals to the nearest 100th. 12128528575x00x245935528575 x00 x43.44.45. Equation: Equation: Equation: x = ______x = ______x = ______2584450115570821055141605330033165735444547167804445x00x303530092710x00x46. 47. 48. 373062555880 1700 175198745123825130013767080123825x00xEquation: Equation: Equation: x≈ ________x≈ ________x≈ ________49. A 20-foot ladder is leaning against a wall. It reaches up the wall 16 feet. How far is the bottom of the ladder from the wall?Equation:50. A 26-ft wire is attached to an electrical pole. The wire attaches to a stake on the ground. If the stake is 10 feet from the base of the pole. How tall is the pole?1854206985000 Equation:51. Find the length of the diagonal of a square if each side 10 cm. 1905008128000 Equation:52. Mary hikes 7 km north and 5 km west. How far is she 26492204191000from her starting point?179641559055002439670321310Equation:Can the given side lengths make a right triangle. Circle yes or no. You MUST support your answer with an equation!53. 4 ft, 9 ft, 7 ft 54. 10 in., 26 in., 24 in. 55. 20 cm, 16 cm, 12 cm 56. 20 in., 28 in., 21in. Equation: Equation: Equation : Equation: yes or no yes or no yes or no yes or noGiven the Pythagorean Triple, state THREE OTHER MULTIPLES that are also Pythagorean Triples. 57. 3, 4, 558. 5, 12, 1359. 8, 15, 173827145127635209550127635Find the DISTANCE between the two points. Round your answers to the nearest 100th, if necessary. 60.61. 62. ( -2, 1 ) and ( 3, 2 ) d=63. ( -1, 2 ) and ( 3, 0 )459676567310A. AltitudeB. Angle BisectorC. MedianD. Perpendicular Bisector00A. AltitudeB. Angle BisectorC. MedianD. Perpendicular BisectorMatching:64. A segment from a vertex to the midpoint of the opposite side _____65. A segment from a vertex perpendicular to the opposite side _____66. A segment from a vertex that bisects the corner angle _____67. Cuts a segment in half and makes a 90 angle _____ 142875204267468630083185242633583185is a MEDIAN of ?ABC. Find each length. 68.69.70. AD = _______ AC = _______AD = _______ DC = _______AD = _______ AC = _______42735502730571. The medians on this picture are segments: ____________________________Draw and label the MEDIAN from vertex X.413131046355x00x8648709207572.73.. Fill in the blank.74. If a point is on the angle bisector, then it is ___________________________ from the two sides of the angle.482917534290254317571755Write an equation and solve for x.1428752794075.76.77.Equation: Equation: Equation: x = _____x = _____ PS = _____ RS = _____x = _____ PM = _____ MN = _____78. If a point is on the perpendicular bisector of a segment, then it is __________________ from the endpoints of the segment.494347538735265747553340Write an equation and solve for x.1428752159079.80.81. Equation: Equation: Equation: x = _____ BC = _____ DC = _____ x = _____ AB = _____ CB = _____ x = _____ AD = _____ CD = _____ Write an equation and solve for x. 35718751193800033432755080is the angle bisector of X. 00is the angle bisector of X. 254317550801057275119380is a median. 00is a median. 14287511938082. 83.279019013843000Equation: Equation: x = _____x = _____Fill in the blanks: _______ sides are across from BIG angles, _______ sides are across from LITTLE angles and________ sides are across form EQUAL angles.20421601422405607685107950List the ANGLES in each triangle from smallest to largest. List the SIDES of each triangle from shortest to longest3918585311152571757620084.85. 86. 87. 601980039370Find mJ first. 00Find mJ first. 58578752730500________________________________________________________________________88. Triangle Inequality Theorem: The sum of any two sides of a triangle must be …__________________________________________Can the following side lengths make a triangle? Circle yes or no. Explain all answers! 89. 1 cm, 2 cm, 3 cm _____________________ yes or no 90. 2 mm, 3 mm, 4 mm____________________ yes or no91. 8 cm, 8 cm, 8 cm _____________________ yes or no 92. 9 mm, 9 mm, 18 mm ___________________ yes or no 93. 21 m, 4 m, 13 m______________________ yes or no 94. 50 cm, 50 cm, 25 cm___________________ yes or no5403850100330173990048895X00X95. Draw and label the ANGLE BISECTOR of X.-368304889597. 0097. -6350010414098.0098.69857112041.0041.182499055880B00B96. Draw and label the PERPENDICULAR BISECTOR of 1824990134620A00AGeometry Ch. 5 REVIEWName ___________________________1. What does it mean for two triangles to be congruent? ____________________________________________________________25126951352555334087630Study the picture to name all the pairs of corresponding sides and angles. Order of the letters matters!4627245863604. Mark each pair of corresponding angles and corresponding sides to show the congruent parts.004. Mark each pair of corresponding angles and corresponding sides to show the congruent parts.2. Pairs of Corresponding Sides Pairs of Corresponding Angles 3. Pairs of Corresponding Sides Pairs of Corresponding Angles 4734560187960________ ______ ________ _______________ ______ ________ _______________ ______ ________ _______Congruence Statement: Congruence Statement: 5. CPCTC stands for: ___________________ Parts of ___________________ Triangles are _____________________.-4127515367024123651536700049898307620Given , find the missing length or angle measure.1445260105410Hint: How many degrees are in a triangle?00Hint: How many degrees are in a triangle?3899535105410Hint: How many degrees are in a triangle?00Hint: How many degrees are in a triangle?6.7. 8. mB = _____ mF = _____ mA = _____ mA = _____ mF = _____ mB = _____ mD = _____ mF = _____ mE = _____Mark the triangles to correspond to each postulate:9. SSS 10. SAS 11. ASA 12. AAS13. H-L6309360673100054844956731000274955010668000126492010668000417957010668000-13716010668000 ORName the postulate which could be used to show the triangles are congruent. Don’t forget to mark "free" sides and angles! 548449598425234315140335192024086360Fill in the congruence statement where indicated. Choices are: SSS, SAS, ASA, AAS, H-L or none. 38138103302014.15.16. 17. Postulate __________Postulate __________Postulate __________Postulate __________389953513525556800751352552033905125095234315698518.19.20. 21. Postulate __________Postulate __________Postulate __________Postulate __________3938270138430568007585090U00U2033905584202133605842022.23.24. 25. Postulate __________Postulate __________Postulate __________Postulate __________Mark the pictures first and then state what postulate proves the triangles congruent. Choices: SSS, SAS, ASA, AAS, H-L or none.26. ; 27. ; 28. ; 29. ;3488055171450530923513779516402051149351524069215 and and and and Postulate __________Postulate __________Postulate __________Postulate __________Using the given information and method, state the PAIRS of additional information needed to prove the triangles congruent. 27870151187454973955133985-5524514922530. ; AAS Postulate31. ; ; SAS Postulate 32. ;ASA PostulatePair of sides or angles needed__________________Pair of sides or angles needed__________________Pair of sides or angles needed__________________4951095211455260413520383533. ; SAS Postulate34. ASA Postulate 35. SSS Postulate (Hint: Mark "free" angles!)514350 Pair of angles needed__________________Pair of sides needed__________________Pair of sides needed_____________Pair of angles needed__________________Pair of sides needed__________________460184513525536. ; SAS Postulate(TWO solutions)80137041275(Hint: Mark given sides… each solution has a pair of sides and a pair of angles.) ONE WAY: OR THE “OTHER WAY”:Pairs of sides needed__________________ Pairs of sides needed__________________Pairs of angles needed__________________ Pairs of angles needed__________________37. ; AAS Postulate(TWO solutions)46018453365580137063500(Hint: Mark given angles… each solution has a pair of sides and a pair of angles.) ONE WAY: OR THE “OTHER WAY”:Pairs of angles needed__________________ Pairs of angles needed__________________Pairs of angles needed__________________ Pairs of angles needed__________________1641475127635Is the segment a LEG or the HYPOTENUSE ?38. _____________39. _____________40. _____________Name the ANGLE that is included between the two sides.20078706350041. ________________42. _______________43. ________________44. ________________Geometry Review - Ch. 6Name __________________________________For each of the following shapes, state the definition, draw a picture, and choose the letter that corresponds to the properties.ParallelogramDefinition: _________________________________________Picture:Properties: 1. ______ 2. ______ 3. ______ 4. ______ CHOICES FOR PROPERTIES:Opposite sides are congruentOpposite angles are congruentConsecutive angles are supplementaryDiagonals bisect each otherDiagonal bisect the corner anglesDiagonals are congruentDiagonals are perpendicularRhombusDefinition: _________________________________________Picture:Properties: 1. ______ 2. ______ 3. ______ 4. ______ 5. ______ 6. ______ RectangleDefinition: _________________________________________Picture:Properties: 1. ______ 2. ______ 3. ______ 4. ______ 5. ______ SquareDefinition: _________________________________________Picture:Properties: 1. ______ 2. ______ 3. ______ 4. ______ 5. ______ 6. ______ 7. ______ TrapezoidDefinition: _________________________________________Picture:An isosceles trapezoid has _____________________________ The base angles of an isosceles trapezoid are ______________To find the length of the midsegment, you _______ the bases together and divide by ______.35369575565Study the Venn Diagram which relates all of these quadrilaterals..Answer true or false. 1. Every rectangle is a square ______________________ 2. Every square is a rectangle ___________________________3. Every parallelogram is a rhombus_________________ 4. Every rhombus is a rectangle__________________________5. Every square is a quadrilateral____________________ 6. Every square is a rhombus ____________________________7. The diagonals of a rectangle are perpendicular _______ 8. The diagonals of a square are perpendicular _____________9. The diagonals of a rectangle are congruent ___________ 10. The diagonals of a rhombus are congruent _______________11. The opposite sides of a parallelogram are congruent________ 12. The opposite angles of a parallelogram are supplementary_______13. The diagonals of all parallelograms bisect each other _______ 14. The diagonals of all parallelograms are congruent ________471932088900Name the following segments or angles in the trapezoid. Use the correct notation!15. Two Bases: ____________16. Two Legs: ____________17. Midsegment: ____________18. Two pairs of Base Angles: _________ & _________486664076835For each PARALLELOGRAM, find each length or measure.17272019050A00A23768051905019. 20.21.mC ______mB ______m1 ______m2 _____XO______XZ _____BC = ______DC = ______m3 ______m4 _____OY ______WY _____4692015126365262128034925For each RHOMBUS, find each length or measure.152400539750022.23.24.mC ______mB ______m1 ______m2 _____m1 ______m2 _____BC = ______DC = ______m3 ______m4 _____m 3 ______m4 _____489712012065090170123190002600960137160For each RECTANGLE, find each length or measure.25.26.27.m1 ______m2 ______m1 ______m2 _____XO_____XZ _____ OY _____BC = ______DC = ______m3 ______m4 _____WY _____m1 ____ m2 ____48666401073152651760113030For each SQUARE, find each length or measure.2495552667028.29.30.m1 ______m2 ______m1 ______m2 _____m1 ______m2 _____BC = ______DC = ______m3 ______m4 _____m3 ______m4 _____492760093980For each TRAPEZOID, find each length or angle measure 229425527305002667001905031.32.33. mR ______mT ______mP _____mS ____m1 ______m2 _____mA _____PA _____m3 _____ m4 ______ y = ______Name all the quadrilaterals that have each property. Choices: parallelogram, rhombus, rectangle, square. There will be more than one answer!34. All angles congruent _______________________________________ 35. Opposite angles are congruent _______________________________________36. The diagonals are perpendicular ______________________________ 37. The diagonals bisect each other ____________________________35610804328795003104515231584539376354083685__________2877820134620Rhombus00Rhombus4943475168910Rectangle00Rectangle398145168910Parallelogram00ParallelogramUsing the properties of each shape to write and solve an algebraic equation for each picture.48260301164712603825116471327660211455 38. 39. 40. Equation: Equation:Equation: 4794250141605IsoscelesTrapezoid00IsoscelesTrapezoidx = _______ mABC = ______ mBCD = ______ x = _______ x = _______257937013335Trapezoid00Trapezoid33845513335Square00Square3048001200154785360114300242316053340-30480001850390Rhombus00Rhombus41. 42. 43. Equation:Equation:Equation: x = _______x = _______x = _______ MATCH the name of each polygon with the number of sides.44. Decagon45. OctagonA. 3 sidesE. 7 sides46. Quadrilateral47. HexagonB. 4 sidesF. 8 sides48. Nonagon49. PentagonC. 5 sidesG. 9 sides50. Heptagon51. TriangleD. 6 sidesH. 10 sides49072801981200057384951638303406140144780276034516764000165798519177028956019812000Classify (Name) the polygon by its number of sides.52.53. 54.55.56.57. 57232558890Name the following for the pentagon shown.58. Two sides adjacent to _______________59. Two vertices consecutive to T ______________60. Two angles consecutive to T ____________61. Two diagonals with endpoint R _____________66. The sum of the angles of a TRIANGLE is ________67. The sum of the angles of a QUADRILATERAL is ________563880010350538481001143001981200121920 Use the formulas to find the measure of the missing angle. 12065062.63.64.65.m1= ______m1= ______mD= ______mD= ______ ................
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