Loudoun County Public Schools / Overview



Name__________________________________________Block_______________Ch 3: Parallel and Perpendicular LinesPRACTICE 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?3.1 and 3.223??3.1- 3.3343.4 and 3.522??Review Worksheet #145??Review Worksheet #217Learning Targets:Identify angle pairs formed by three intersecting linesUse angles formed by parallel lines and transversalsUse angle relationships to prove that lines are parallelFind and compare slopes of linesFind equations of linesUnit 3 Syllabus: Ch 3 Parallel and Perpendicular Lines BlockDateTopicHomework16B 10/16A 10/173.1 Identifying Lines and Angles3.2 Angle Relationships and Parallel LinesWorksheet: 3.1 and 3.2 Identifying Lines and Angle Relationships17B 10/20A 10/213.3 Proving Lines ParallelWorksheet: 3.3 Proving Lines Parallel18B 10/22A 10/23Quiz 3.1-3.3Khan Academy19B 10/24A 10/273.4 Slope of Lines3.5 Writing Equations of LinesWorksheet: 3.4 Slope of Lines3.5 Writing Equations of Lines20B 10/28A 10/29Review Ch 1 and 2 for Quarter TestReview Worksheet—Separate from packet21B 10/30A 10/31Quarter 1 Benchmark TestReview Worksheet #1NEW QUARTER1B 11/5A 11/6Review Day Ch 3Review Worksheet #22B 11/7A 11/8Ch 3 TestKhan Academy***Syllabus subject to change due to weather, pep rallies, illness, etcNeed Help?Email your teacher to set up a time before or after school!Peer Tutoring is available through Mu Alpha Theta is Monday, Tuesday, Thursday, and Friday mornings in L403.Need to make up a test/quiz?Math Make Up Room is open Tuesday, Thursday, and Friday mornings and Monday, Wednesday, and Thursday afternoons. 6088380-696595230023HW: 3.1- 3.2: Identify Pairs of Lines, Use Parallel Lines 340233080010Use the diagram of the fire escape to decide whether the statement is true or false.6. The planes containing the platforms outside of the windows are parallel to the ground. ______________7. The planes containing the stairs (but not the ladder) are parallel to each other. ________________8. The planes containing the platforms outside of each pair of windows are perpendicular to the planes containing the walls that have 6 windows. ________________9. The planes containing the walls with 6 windows are perpendicular to the planes containing the walls that have nine windows. ________________17. The planes containing the platforms outside of the windows are parallel to the ground. ______________18. The planes containing the stairs (but not the ladder) are parallel to each other. ________________19. The planes containing the platforms outside of each pair of windows are perpendicular to the planes containing the walls that have 6 windows. ________________20. The planes containing the walls with 6 windows are perpendicular to the planes containing the walls that have nine windows. ________________00Use the diagram of the fire escape to decide whether the statement is true or false.6. The planes containing the platforms outside of the windows are parallel to the ground. ______________7. The planes containing the stairs (but not the ladder) are parallel to each other. ________________8. The planes containing the platforms outside of each pair of windows are perpendicular to the planes containing the walls that have 6 windows. ________________9. The planes containing the walls with 6 windows are perpendicular to the planes containing the walls that have nine windows. ________________17. The planes containing the platforms outside of the windows are parallel to the ground. ______________18. The planes containing the stairs (but not the ladder) are parallel to each other. ________________19. The planes containing the platforms outside of each pair of windows are perpendicular to the planes containing the walls that have 6 windows. ________________20. The planes containing the walls with 6 windows are perpendicular to the planes containing the walls that have nine windows. ________________-7620080010Think of each segment in the diagram as part of a line. Complete the statement with parallel, skew, or perpendicular.1. _____________________.2. _____________________.3. _____________________.4. Plane WZR and plane SYZ are ____________________.5. Plane RQT and plane YXW are ___________________.1. _____________________.2. _____________________.3. _____________________.4. Plane WZR and plane SYZ are ___________.5. Plane RQT and plane YXW are __________.00Think of each segment in the diagram as part of a line. Complete the statement with parallel, skew, or perpendicular.1. _____________________.2. _____________________.3. _____________________.4. Plane WZR and plane SYZ are ____________________.5. Plane RQT and plane YXW are ___________________.1. _____________________.2. _____________________.3. _____________________.4. Plane WZR and plane SYZ are ___________.5. Plane RQT and plane YXW are __________.#10-13 Use the diagram 10. Name a pair of parallel lines. ________________11. Name a pair of perpendicular lines. _____________3307715152400012. Is ? Explain 13. Is ? Explain. 471487529845#14-17 Identify all pairs of angles of the given type. 14. Corresponding 15. Alternate Interior 16. Alternate Exterior 17. Consecutive Interior For numbers 18-20, find m 1 and m 2 19431012446000479488514605002508885146050018. 19. 20. m 1______________ m 1______________m 1_______________m 2______________m 2______________m 2_______________51075892343150030740173339620054292532385000For numbers 21-23, solve for x .21. 22. 23. X=X=X=6297930-86995340034HW 3.1- 3.3 Review: Pairs of Lines, Parallel Lines, Prove ParallelClassify each pair of angles as corresponding, alternate interior, alternate exterior, consecutive interior, or consecutive exterior. -44452857500295338512255500Find the values of x and y.5640705107950031813533020007. 8. 9. 57365901054100030822902349500324485234950010.11. 12. Which lines or segments are parallel? (Be sure to list some, all, or none of the pairs by their names.) Justify your answer with a theorem. (ie. A//B because of the alt. int. angles are congruent)2705101422400029533851422400013. 14. 15. 51174651587500519747518986500Is it possible to prove that line are parallel? If so, state the postulate or theorem you would use.26708103048000194310673100016. 17. 18. 5702306540500316611019050005327015444500019. 20. 21. Find the value of x that makes m|| n.27288093334200519747544450027051044450022. 23. 24. 4065270-125730bac3x + 606x + 1515y l00bac3x + 606x + 1515y l25. Find the value of x that makes a//b.26. Find the value of y that makes a//c.-2498212574091313233340031323334-252484934455272829300027282930-144656535940006158865-161925250025HW: 3.4 and 3.5 Find and Use Slopes of Lines and Equations of a lineMatch the description of the slope of a line with its graph. 196215047625 A B C D020000 A B C D56864253810000441960038100002019300139700032289753810000______1.) m is positive______2.) m is negative ______3.) m is zero ______4.) m is undefined Find the slope of the line using the graph.2447925-635142875-6354743450-6355.6.7. 8.) Describe and correct the error in finding slope of the line. 285753365500 For each equation, rewrite in slope-intercept form, then state m and b.5. 9x + 2y = -146. 4y – 2x = 37. 6x = 10y +2Determine the slope of the line passing through each pair of points.h: ( 5, 5) and (4, 7)l: (10, 8) and (4, 8) t: (-6, 3) and (0, -4)r: (6,-2) and (7, -4) s: (10, 2) and (17, 8) 8. Which two lines are parallel?9. Are any of these lines perpendicular?Find the slope of each line. Are the lines parallel?10. 20129500011. 3401695000Find the slope of each line. Are the lines perpendicular?12. 20129500013. 3401695000Write the equation of the line that passes through the given y-intercept and has the given slope.53587651177590059416952051050014. m = 12, b = 915. m = , b = 1 16. Write the equation of the line that passes through the given point and given slope.17. Passes through (6, -2) and slope is 4. 18. Passes through (0, 3) and slope is Write the equation of a line given two points.19. Passes through (7, 8) and (-3, 0)20. Passes through (5, 1) and (-7,3)277495120650021. Write the equation of a line that: 22. Passes through (8, 1) and is23. Passes through (6, -2) and is parallel to perpendicular to -x + 2y = 1024. Passes through P and is parallel to.25. Passes through P and is perpendicular to .391287011430000189230114300006163310-112395450045HW: Review Worksheet #1Point E is between D and F on . Use the given information to write an equation in terms of x. Solve the equation. Then find DE and DF. 49530121920001. 2. Line AB bisects a point B. Find CD if BD = inches.3. Find mDEG and mGEF.4. Find the measure of each angle in the diagram.37592003238500231140149225005. Classify the angle pair as corresponding, alternate interior, alternate exterior or consecutive interior angles. a. d. b. e. c. f. Find the angle measure. Tell which postulate or theorem you use. 14478079375004974590100965006. 7. 8. 9. -584206667500Find each missing angle.10. 11. 12. Tell whether the lines through the given points are parallel, perpendicular, or neither.3458210336550013. 14. Find the value of x and y. -40005469900015. 358140018669000Find the value of x that makes .306705209550016. 17. Write the equation of the line that goes through the given point and has the given slope. 343662010350500198755304800018. 19. Determine if the lines can be proven parallel. If so, provide a reason. Or, state cannot be determined.570420596520003874770209550020656555334000187325533400020.21.22. 23. 5597525171450024. 25. 26. 27 28. For 33, which pair of lines are parallel? Find the slope that goes through the following points. 37125801020080029. A(4, 9) and B(4, -6)30. -18424510235800Write the equation of the lines with the given information. (You may count or calculate slope.)31.32. Write the equation of the line that goes through the points (-2, 3) and (4, 3).Write the equation of the line that is parallel to the given line and passes through P.-1270831850033. Write the equation of the line that is perpendicular to the given line and passes through P. 75063279590034. 18097511747500Find the equation of the line that is perpendicular to AB and passes through P. Then, graph the line.35. Graph the line that is parallel to AB and passes through P. 19367576200036. 37. Are the following line parallel, perpendicular, or neither?k: y = j: 38. Determine if is congruent togiven the following coordinates?: D(-9, 5) and C(-5, 12): N(0, 3) and M( -7, -1)39. Find the midpoint of given: D(-9, 5) and C(-5, 12)-635-254000In the following diagrams, m is parallel to n. Find the value of x. 40. 41. 42. 43. 44. 45. 6054090-239395170017HW: Review Worksheet #2#1-4: Use the given diagram to answer the following questions.-95255207000A Parallel B Perpendicular C Skew D None of these395287517843500_______ 1. Classify the lines ._______ 2. Classify the lines ._______ 3. Classify the lines _______ 4. Classify the lines 46196258128000#5- 8: Use the diagram for the following questions._______ 5. 4 and _____ are corresponding angles.A 7B 5C 3D 8_______ 6. 3 and _____ are consecutive interior angles.A 8B 5C 6D 3_______ 7. 3 and 6 are __________ angles.A consecutive interior B alternate interior C corresponding D vertical_______ 8. 6 and 7 are __________ angles. A verticalB consecutive interior C corresponding D alternate interior 12954004762500_______ 9. In the diagram , find the value of x. A 138°B 128°C 118°D 62°12287255588000_______ 10. In the diagram , find the value of x.A 122°B 68°C 58°D 48°#11-13: Answer each question, SHOW ALL WORK, and justify your work by stating the postulate or theorem that allowed you to set up an equation.34671002603500_______ 11. In the diagram , find the value of x. A 9.5B 76C 33D 10.75reason:____________________________ 310515024638000_______ 12. In the diagram find the value of x that would make . A 65B 45C 22.5D 60reason:____________________________ 346710021018500_______ 13. In the diagram find the value of x that would make . A 21B 24C 41D 96reason:____________________________ #14-17: Short Answer- Show all work and circle your final answer. 14. Find the slope of the line that passes 15. Given that line 1 passes through (-2, 1) through .and (1, -1) and line 2 passes through (1, 3)and (4, 1). Determine if the lines are parallel, perpendicular, or neither.16. Write an equation of a line that is 17. Write an equation of a line that is parallel to and passes perpendicular to and passesthrough .through . ................
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