Geometry A Chapter 3 Test Review
Name
h
Use the diagram below for numbers 1-4.
a
1. Identify a pair of alternate exterior angles.
1
2
8
3
2. Identify a pair of alternate interior angles.
3. Identify a pair of same-side interior angles.
b
7
4
6
5
4. What is the relationship between 1 and 7
5. Which statement is true?
a.
b.
c.
d.
are alternate interior angles.
are alternate exterior angles.
are same-side interior angles.
are same-side interior angles.
6. Line r is parallel to line t. Find all angles congruent to the given. The diagram is not to scale.
r
7
135°
1
3
t
4
2
5
6
7. Line r is parallel to line t. Find m 2 and m 3. The diagram is not to scale.
r
7
131°
1
3
t
4
2
5
8. Line r is parallel to line t. Find m 5 and m 6. The diagram is not to scale.
r
7
134°
1
t
3
4
2
5
6
6
9. Find m1 and m 2. The diagram is not to scale.
1
2
p
r
34
°
10. Find m1 The diagram is not to scale.
1
g
110°
j
h
k
11. Find the value of x that makes l || m. The diagram is not to scale.
2x+4
l
72
12. Which lines are parallel if
m
? Justify your answer.
g
1
j
13. Which lines are parallel if
2
h
k
? Justify your answer.
1 2
3 4
5 6
l
7
8
r
s
m
14. If
and
, what do you know about the relationship between lines a and b? Justify your conclusion
with a theorem or postulate.
b
a.
, by the Perpendicular Transversal Theorem
b.
, by the Perpendicular Transversal Theorem
c.
, by the Alternate Exterior Angles Theorem
d. not enough information
1 2
3 4
a
5 6
7 8
c
15. Find the value of x. The diagram is not to scale.
Given:
,
S
,
R
3
16. Graph the line y =  x +2?
4
T
17. What is the graph of
y
U
?
y
x
x
18. Circle the two lines are parallel?
19. What is the equation in point-slope form for the line parallel to y = 3x + 2 that contains P(–3, –5)?
20. Is the line through points P(1, 9) and Q(9, 6) perpendicular to the line through points R(–6, 0) and S(–9, 8)?
Explain.
21. Give the missing reasons in this proof of the Alternate Interior Angles Theorem.
Given:
Prove:
22. State the missing reasons in this proof.
q
Given:
Prove:
1 2
3 4
7
5 6
8
p
r
23. If f || g, find the value of x . The diagram is not to scale.
f
4x+31
9 x + 26
g
24. Find the value of x for which l is parallel to m. The diagram is not to scale.
80°
( 3 x - 40 )º
l
m
25. Find the value of x for which p is parallel to q, if
3 4
5
p
6
q
1 2
.The diagram is not to scale.
26. Find the value of k. The diagram is not to scale.
52°
k°
55°
27. Find the value of x. The diagram is not to scale.
x°
61°
115°
28. Find the value of x. The diagram is not to scale.
114°
x°
47°
y
10
29. What is the slope of the line shown?
8
(–8, 5)
6
4
2
–10 –8 –6 –4 –2
–2
2
4
–4
–6
–8
–10
(1, –8)
6
8 10
x
30. Write an equation in slope-intercept form of the line through point P(5, -1) with slope -3.
31. What is an equation in slope intercept form for the line that passes through points (5, –3) and (9, 5)?
32. Is the line through points P(8, 3) and Q(4, 2) parallel to the line through points R(–5, –5) and S(–1, –2)?
Explain.
33. What is an equation in slope-intercept form for the line perpendicular to y = 3x + 9 that contains (–6, 5)?
34. In a plane, line k is parallel to line l and line k is parallel to line m. What can you conclude about the
relationship between lines l and m?
k
l
m
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