Loudoun County Public Schools / Overview



Ch 1: The Essentials of GeometryPRACTICE PROBLEMSAssignmentScoreLearning Target(s)NotesWhat am I confident about?Where do I need to spend more time?Am I weak on a prerequisite skill?What am I going to do if I am weak?1.118??1.2201.322??1.1-1.3 Review28??1.430??1.524Ch Review20Learning Targets:Name and sketch geometric figuresUse segment postulates to identify congruent segmentsFind lengths of segments in the coordinate planeName, measure, and classify anglesUse special angle relationships to find angle measuresUnit 2 Syllabus: Ch 1 Essentials of Geometry BlockDateTopicHomework7 9/22Identify Points, Lines, and PlanesUse Segments and CongruenceWkst: 1.1 Definitions and 1.2 Segment Addition Postulate8 9/241.3 Use Midpoint and Distance FormulasWkst: 1.3 Midpoint and Distance9 9/26Review DayWkst: 1.1-1.3 Review 10 9/30Quiz 1.1-1.3Spiral Review11 10/21.4 Measure and Classify AnglesWkst: 1.4 Angle Measurement12 10/41.5 Describe Angle Pair RelationshipsWkst: 1.5 Angle Relationships13 10/6Review DayWkst: Chapter 1 Review 14 10/8Chapter 1 TestSpiral Review***Syllabus subject to change due to weather, pep rallies, illness, etcNeed Help?Mrs. Prusak are available in the morning. Email her to set up a time!Mu Alpha Theta is Monday, Tuesday, Thursday, and Friday mornings in L409.Need to make up a test/quiz?Math Make Up Room is open Tuesday, Thursday, and Friday mornings and Monday, Wednesday, and Thursday afternoons. 5679440-466090180018HW: 1.1 Points, Lines, and Planes In Exercises 1–6, use the diagram. 365760092075Are points J, K, and L collinear or coplanar?Are points J, K, and M collinear or coplanar?1844675143510KL00KL2428875160655PQ 00PQ Name the intersection ofand .1764665118745PQ00PQName the intersection of and plane KMN.Name the intersection of plane R and plane S.Name three pairs of opposite rays.377190055880Use Diagram to left to answer questions 7-9Name 12 different rays.Name 2 pairs of opposite rays.Name 2 lines that intersect at point Z.Using the appropriate labels sketch the following relationships. intersects X is not on Points L, M, and N are collinearPoints L, M, and N are noncollinear intersects plane Q at PPlane Q intersects plane R at HW: 1.2 Use Segments and Congruence6289040-85090190019-549910415988500-402590236537500-54102013335000Find the indicated length.2108208255000-56351914862500-42926088265006209608-154513220022HW: 1.3 Midpoint and Distance-2813053556000-28130514224000-2813051397000-281305254000-2305052730500Refer to the coordinate plane below to find the following.190500016. The coordinates of A.17. The coordinates of B.18. The coordinates of C.19. The coordinates of D.20. The coordinates of E.21. The distance from D to C. 22. The distance from E to A.-4260858572500-107315114300006142990-193040280028HW: Review 1.1-1.3In the diagram of collinear points, Find the length of each segment.24047455715000a. HI=_____b. IJ=_____c. GH=_____d. JK=_____e. IG=_____f. IK=_____37585651079500-2292357810500Suppose J is between H and K. Use the Segment Addition Postulate to solve for x. Then find the length of each segment.17. 18. 46142232089150062547566897250062547566897250019. Determine if the following segments are congruent. Write a congruence statement if they are. Show all work to support and explain your answer. : A(1,-3), B(0,5): C(1,1), D(-3,4)62547566897250020. Let E be a segment bisector of . Given FE= 8w-8, EG = 4w-4. Find the value of w.21. The midpoint of is M(-6, 2). If the coordinates of point A are (4, 2), find the coordinates of the other endpoint, B.525762920196800159956520193000Find the length of the segments with the given endpoints.22. 23. Find the midpoint of the segment with the given endpoints.24. 25. Given endpoint A and midpoint M of find the other endpoint.26. 27. 47663102292350028. Calculate to find which point A or B is farthest from the origin (0,0). A(4, 3) or B(-1, 5)?6274435-306070300030HW: 1.4 Angle MeasurementWrite three names for the angle shown. Then name the vertex and the sides of the angle.1.2. 3. Classify the angle with the given measure as acute, obtuse, right, or straight.4. 5. 6. 7. 461010033909000Give another name for the angle in the diagram. Tell whether the angle appears to be acute, obtuse, right, or straight.8. JKN9. KMN10. PQM11. JML12. QPN13. PLK806452921000List all of the angles have S as a vertex.Name a straight angle.Name an obtuse angle.Does SRU appear to be obtuse, right, acute, or straight?If the m3 =48 and m4 =23 then find the m RUT.If m6 is 177 the find m 2.Find the indicated angle measure. Use the given information to find the indicated angle measure.24. 25. 26. In the diagram bisects ABC. Find mABC.27. 329565850900030.28. 29. 6129020-306705240024HW: 1.5 Angle RelationshipsUsing the figure below list all of the following that apply to each pair of angles: adjacent, vertical, complementary, supplementary, and linear pair.09334500 1 and21 and 44 and 51 and 5-9588531750000Use the figure below to answer questions 5-10Name one pair of complementary anglesName two angles that make a linear pairName one pair of vertical angles.If m4=43?, then find the m2.If m2=33?, then find the m5.If m2=37?, then find the m3.-127029400500Refer to the figure below and answer the following questions.If mABC =71?, then find mCBD.If mDBC =23, then find the mCBA.If mABD = 2x-7, then find x.If mABC = 3x+12 and mCBD =x-8, then find x.If m1 is twice the measure of its complement (2), then determine the measure of each angle.If m3 is five times the measure of its supplement, then determine the measure of each angle.Refer to the figure below and answer the following questions.-774704064000If mABC =136, then find the mCBD.If mABC=7x-3 and mCBD =2x+12, then find x.If mABC =119, then find mCBD.If mABC=5x+5 and mCBD=x+15, then find x.Find x and determine if . Explain why.326326532448500Refer to the pictures below and find the missing angles. 6069330-178435200020HW: Ch 1 Review370840012890500Use the diagram answer the following questions. -1543057302500-1543058636000 9.38982651460500010. J is between H and K. Find the length of each segment using the following expressions.HJ = 5x – 4 JK = 8x - 10HK = 15x - 2011. 12. Given the endpoints of a segment, find the midpoint. A (6, -3) and B (10,5) 13. Given an endpoint and the midpoint of a segment, find the other endpoint. R (8,0), M(4,-5) 4146550-2162220014. Determine if the segments are congruent. 82556985005454651257300037496751257300015. Classify each angle as acute, obtuse, right or straight. 16. -19812015684500 52527201403350017. BD bisects ABC. Given that and find x.18. Solve for x and y. Show all equations and work!8255895350019. The following angles are complementary. Find their measures.3181985141605001671955895350020. Tell whether the angles are vertical angles, a linear pair, or neither.4721225317500014122403175000 ................
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