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# Chaoter 3 Test Review Parallel Lines.doc - Wikispaces

By Nicholas Evans,2014-07-09 07:18
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Chaoter 3 Test Review Parallel Lines.doc - Wikispaces

Geometry

Chapter 3 Review Problems

Choose the letter of the best answer choice for each problem.

_____ 1. If 3 Y, which of the following must be true?

X l 3 1 2

Y W

A. W Y B. WX is perpendicular to XY

C. W 2 D. Line l is parallel to YW.

_____ 2. In the figure drawn below, LM and QR are parallel and m M = m L = 60?.

What is mQNP? M

R

L N P

Q

A. 90? B. 120? C. 150? D. 180?

_____ 3. Which additional piece of information would verify m // n?

72? m z? x?

w? n

y?

A. x = 72 B. y = w C. z = 108 D. x = w

_____ 4. A construction engineer needs to make sure a ceiling beam is parallel to its

corresponding floor beam. Using the drawing as a guide, which pair of

measurements is sufficient to show the beams area parallel?

A B x? z?

w? y?

D C

A. x = z B. y = w C. x = y D. y = z

_____ 5. George used a decorative fencing to enclose his deck. Using the information on

the diagram and assuming the top and bottoms are parallel, what is the value of x?

x

130? 50?

A. 50? B. 80? C. 100? D. 130?

_____ 6. Line l intersects lines w, x, y, and z. Which two lines are parallel?

l

110? w

80? x

y 70? 100? z

A. lines w and x B. lines w and y

C. lines x and z D. lines y and z

_____ 7. The measure of YZV is 40? and the measure of XYZ is 65?. Which of these

angles must measure 40? in order for VR to be parallel to YZ? X

A. YVZ

V R B. ZVR

C. ZYV

D. VRX

Y Z

_____8. In the figure, line t is a transversal for lines l and m. Which of the following

describes the relationship between 1 and 2? m t l

A. Alternate interior angles 2

B. Same side interior angles

C. Corresponding angles 1 D. Alternate exterior angles

_____9. Which value for x will make line a parallel to line b?

A. 5 a ( 4x ? 30 )? B. 15

C. 20

( 2x )? D. 35 b

_____10. What value for x will show that lines l and m are parallel?

( 2x + 30 )? A. 25

B. 30

C. 40 ( 4x ? 90 )? D. 60 l m

_____ 11. Which additional piece of information would verify m / / n?

t? s? m

A. t + x = 180 v? u? B. s = v

C. u = w x? n w? D. u = y z? y?

_____ 12. If BA / / CD, then which of the following represents mBCD?

A

A. 30? B 40?

B. 40? 30?

C. 70?

D. 110?

C

D

_____13. If point A has coordinates ( ?1, 2 ) and point B has coordinates ( ?3, 5 ), then

which of the following represents the slope of AB?

32;; A. B. 23

33; C. D. 44

_____14. If point A has coordinates ( ?1, 2 ) and point B has coordinates ( ?3, 5 ), then

which of the following represents the slope of any line perpendicular to AB?

32;; A. B. 23

23; C. D. 43

1 2 3 4 a

5 6 7 8

9 10 11 12 b

13 14 15 16

c d

parallel?

15. 8 6

16. 11 8

17. 3 8

18. 11 3

19. 3 16

20. 15 10

21. 14 + m15 = 180

22. 2 13

Given: m1 = 125. Find the measure of each angle.

23. m2 = __________

1 4 6 24. m3 = __________

5

25. m4 = __________

3 26. m5 = __________

2 7

27. m6 = __________

28. m7 = __________

Find the value of x so that l // m.

l

29.

(10x 4) m

(8x + 10)

30.

(4x + 5) l

115 m

31. Find the measure of ABC.

A

70

B

150

C

Find the measure of each angle.

26 75 32. 1 = __________ 34

33. 2 = __________

1 4 2 34. 3 = __________

5 3

35. 4 = __________

36. 5 = __________

6 37. 6 = __________

Chapter 1 and Chapter 2 Review

38. If point A has coordinates ( ?1, 2 ) and point B has coordinates ( ?3, 5 ), then calculate the

length of AB.

39. If point A has coordinates ( ?1, 2 ) and point B has coordinates ( ?3, 5 ), then calculate the

coordinates of the midpoint of AB.

40. Write the converse of the statement: If two lines are parallel, then alternate exterior angles

are congruent.

41. Use the laws of reasoning to make a valid conclusion from statements (1) and (2) below.

(1) If two angles are vertical angles, then they are congruent.

1 and 2 are not congruent.(2)

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