Geometry M217
Chapter 3: Test Review
Worksheet 7
Name
Date
Teacher
Hour
Use the given diagram to list all pairs of angles that apply.
1. Alternate Interior Angles
1.
_________________________
2.
_________________________
3.
_________________________
4.
_________________________
5.
_________________________
6. Vertical Angles
6.
_________________________
7. Linear Pair
7.
_________________________
2. Alternate Exterior Angles
3. Same-side Interior Angles
(Consecutive Interior)
4. Same-side Exterior Angles
(Consecutive Exterior)
5. Corresponding Angles
1
3
2
6
7
8
4
5
b
a
8. If lines are parallel, then…
a. Alternate Interior Angles are ____________________________.
b. Alternate Exterior Angles are ___________________________.
c. Corresponding Angles are _____________________________.
d. Same-side (Consecutive) Interior Angles are __________________________.
e. Same-side (Consecutive) Exterior Angles are __________________________.
9. Given the diagram below, determine if the segments are parallel, perpendicular, skew, or neither. All
segments intersect to make right angles.
A
D
B
C
H
G
E
F
a.
BG , AD ___________________________
b.
BC , AD ___________________________
c.
CF , FE ___________________________
d.
AB, FE ___________________________
10. Using the diagram above list three pairs of parallel planes. Be sure to label them properly by using three
points per plane.
a.
__________________________________
b.
__________________________________
c.
__________________________________
M217 – Chapter 3
Worksheet 7
10/13/2010
11. In the figure l  n and r is a transversal. Which of the following is not necessarily true?
a. 5 @ 3
b.
8 @ 2
c.
7 @ 4
d.
2 @ 6
12. Which lines, if any, can be proved parallel given the following diagram? For each conclusion, provide
the justification.
13. Which lines, if any, must be parallel if  2 is supplementary to 9 ?
Explain your answer.
14. Which line is the transversal that forms 3 and 5 ? ________
15. Which line is the transversal that forms 2 and 9 ? ________
16. Which line is the transversal that forms 5 and 9 ? ________
M217 – Chapter 3
Worksheet 7
10/13/2010
17. Given 1 @ 3 , determine which lines must be parallel. Explain your reasoning.
18. Refer to the figure. Which theorem guarantees l and m are parallel?
a. Alternate Exterior Angles Converse
b. Alternate Interior Angles Converse
c.
d.
Corresponding Angles Converse
Same-side Interior Angles Converse
19. Which lines, if any, can be proved parallel given the following diagram?
M217 – Chapter 3
Worksheet 7
10/13/2010
For #20 – 21 solve for x and y. Show the equation used to solve.
20.
21.
2x + 2y
4y
20. x = __________
(4x + 5)◦
y = __________
(6y – 3)◦
4x – y
21. x = __________
y = __________
For #22 – 25 find the slope between the given points. Show work.
22. (3, -6) (-7, 10)
23. (3, 9) (3, -6)
22. __________
23. __________
24. (2, 5) (8, 3)
25. (1, 8) (-6, 8)
24. __________
25. __________
For #26 – 31 write an equation of the line in the format specified. Show work.
26. Passing through the points (2, 5) and (4, 10) in point-slope form.
26. ___________________________
27. Passing through the points (3, 6) and (-1, 2) in slope-intercept
form.
27. ___________________________
M217 – Chapter 3
Worksheet 7
10/13/2010
28. Through the point (3, 8) and parallel to y = 2x - 4 in slopeintercept form.
28. ___________________________
29. Through the point (6, -4) and perpendicular to y = 2x - 4 in slopeintercept form.
29. ___________________________
30. Horizontal line passing through the point (3, 6).
30. ___________________________
31. Vertical line passing through the point (-2, 5).
31. ___________________________
For 32 - 35 determine if the two lines are parallel, perpendicular, or neither. Show work.
32.
y  4x  3
y  4x  5
33.
4x  2 y  8
y  2 x  3
32. ________________
33. ________________
34.
2 x  3 y  15
3x  2 y  8
35.
y2
x  3
34. ________________
35. ________________
M217 – Chapter 3
Worksheet 7
10/13/2010
Use the properties of parallel lines to solve for the variables indicated. Show ALL work.
36. m1  x 2  6 x  50, m 2  4 x  30
37. m1  6a  5b, m 2  2a
m3  15b, m 4  80
36. x = ____________
m1  _______
1
1
2
2
3
4
37. a = ___________
b = __________
38. m 2  _______
m3  _______
38. m1  25, m 7  110
m 4  _______
m5  _______
m6  _______
m8  _______
6
2
4
1
M217 – Chapter 3
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Worksheet 7
10/13/2010