Name__________________________________________Block_______________Ch 3: Parallel and Perpendicular Lines

PRACTICE PROBLEMSAssignment Score Learning 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 3.2 23

3.1- 3.3 34

3.4 and 3.5 22

Review Worksheet #1 45

Review Worksheet #2 17

Learning Targets:Identify angle pairs formed by three intersecting linesUse angles formed by parallel lines and transversals

Use angle relationships to prove that lines are parallelFind and compare slopes of lines

Find equations of lines

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Unit 3 Syllabus: Ch 3 Parallel and Perpendicular Lines Block

Date Topic Homework

16 B 10/16A 10/17

3.1 Identifying Lines and Angles3.2 Angle Relationships and Parallel Lines

Worksheet: 3.1 and 3.2 Identifying Lines and Angle Relationships

17 B 10/20A 10/21

3.3 Proving Lines Parallel Worksheet: 3.3 Proving Lines Parallel

18 B 10/22A 10/23

Quiz 3.1-3.3 Khan Academy

19 B 10/24A 10/27

3.4 Slope of Lines3.5 Writing Equations of Lines

Worksheet: 3.4 Slope of Lines3.5 Writing Equations of Lines

20 B 10/28A 10/29

Review Ch 1 and 2 for Quarter Test

Review Worksheet—Separate from packet

21 B 10/30A 10/31

Quarter 1 Benchmark Test Review Worksheet #1

NEW QUARTER1 B 11/5

A 11/6Review Day Ch 3 Review Worksheet #2

2 B 11/7A 11/8

Ch 3 Test Khan Academy

***Syllabus subject to change due to weather, pep rallies, illness, etc

Need 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.

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23

HW: 3.1- 3.2: Identify Pairs of Lines, Use Parallel Lines

#10-13 Use the diagram 10. Name a pair of parallel lines. ________________

11. Name a pair of perpendicular lines. _____________

12. Is ? Explain

13. Is ? Explain.

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23

Use 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. ________________

Think 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 ___________________.

#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

18. 19. 20.

m 1______________ m 1______________ m 1_______________

m 2______________ m 2______________ m 2_______________

For numbers 21-23, solve for x .

21. 22. 23.

4

X= X= X=

HW 3.1- 3.3 Review: Pairs of Lines, Parallel Lines, Prove Parallel

Classify each pair of angles as corresponding, alternate interior, alternate exterior, consecutive interior, or consecutive exterior.

Find the values of x and y.

7. 8. 9.

10. 11. 12.

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34

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)

13. 14. 15.

Is it possible to prove that line are parallel? If so, state the postulate or theorem you would use.16. 17. 18.

19. 20. 21.

6

108

108

t

m

l

t

l

m

65

65

t

l

m

100

72

Find the value of x that makes m|| n.22. 23. 24.

25. Find the value of x that makes a//b.

26. Find the value of y that makes a//c.

7

l

15y

6x + 15

3x + 60

c

a

b

27

28

29

30

31

32

33

34

HW: 3.4 and 3.5 Find and Use Slopes of Lines and Equations of a line

Match the description of the slope of a line with its graph. ______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.

5. 6. 7.

8.) Describe and correct the error in finding slope of the line.

For each equation, rewrite in slope-intercept form, then state m and b.5. 9x + 2y = -14 6. 4y – 2x = 3 7. 6x = 10y +2

8

A B C D

25

Determine 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. 11.

Find the slope of each line. Are the lines perpendicular?12. 13.

Write the equation of the line that passes through the given y-intercept and has the given slope.

14. m = 12, b = 9 15. m = , b = 1 16.

Write the equation of the line that passes through the given point and given slope.9

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)

21.

Write the equation of a line that: 22. Passes through (8, 1) and is 23. Passes through (6, -2) and is

parallel to perpendicular to -x + 2y = 10

24. Passes through P and is parallel to . 25. Passes through P and is perpendicular to .

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HW: Review Worksheet #1

Point 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.

1.

2. Line AB bisects a point B. Find CD if BD = inches.

3. Find m DEG and m GEF. 4. Find the measure of each angle in the diagram.

5. Classify the angle pair as corresponding, alternate interior, alternate exterior or consecutive interior angles.

a. d.

b. e.

c. f.

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45

Find the angle measure. Tell which postulate or theorem you use.

6.

7.

8.

9.

Find each missing angle.10. 11. 12.

Tell whether the lines through the given points are parallel, perpendicular, or neither.13. 14.

Find the value of x and y.

15.

Find the value of x that makes .

12

16. 17.

Write the equation of the line that goes through the given point and has the given slope.

18. 19.

Determine if the lines can be proven parallel. If so, provide a reason. Or, state cannot be determined.

20. 21. 22. 23.

24. 25. 26. 27

28. For 33, which pair of lines are parallel?

Find the slope that goes through the following points.

29. A(4, 9) and B(4, -6) 30.

Write the equation of the lines with the given information. (You may count or calculate slope.)31.

13

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.

33.

Write the equation of the line that is perpendicular to the given line and passes through P.

34.

Find 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. 36.

14

37. Are the following line parallel, perpendicular, or neither?

k: y = j:

38. Determine if is congruent to given 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)

In the following diagrams, m is parallel to n. Find the value of x. 40. 41. 42.

43. 44. 45.

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HW: Review Worksheet #2#1-4: Use the given diagram to answer the following questions.

A Parallel B Perpendicular C Skew D None of these

_______ 1. Classify the lines F⃗E and D⃗G .

_______ 2. Classify the lines A⃗D and B⃗C .

_______ 3. Classify the lines A⃗D and E⃗H .

_______ 4. Classify the lines A⃗D and D⃗C .

#5- 8: Use the diagram for the following questions._______ 5. 4 and _____ are corresponding angles.

A 7 B 5 C 3 D 8

_______ 6. 3 and _____ are consecutive interior angles.

A 8 B 5 C 6 D 3

_______ 7. 3 and 6 are __________ angles.A consecutive interior B alternate interior C corresponding D vertical

_______ 8. 6 and 7 are __________ angles. A vertical B consecutive interior C corresponding D alternate interior

_______ 9. In the diagram l‖m , find the value of x.

A 138°B 128°C 118°D 62°

_______ 10. In the diagram l‖m , find the value of x.A 122°B 68°C 58°D 48°

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#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.

_______ 11. In the diagram l‖m , find the value of x. A 9.5 B 76C 33 D 10.75

reason:____________________________

_______ 12. In the diagram find the value of x that would make l‖m . A 65 B 45C 22.5 D 60

reason:____________________________

_______ 13. In the diagram find the value of x that would make l‖m . A 21 B 24C 41 D 96

reason:____________________________

#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 (2 , −2 ) and (6 , 6 ) . 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 y=−2x+5 and passes perpendicular to y=−3

2x−3

and passesthrough (−3 , 2 ) . through (−5 , 2 ) .

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