Name:_________________________
Geometry
Chapter 3 Test
Period:_______
Date:__________________
Multiple Choice
Identify the choice that best completes the statement or answers the question. Write your answer in the space provided.
____ 1. Which angles are corresponding angles?
a.
b.
c.
d.
____
2. Complete the statement. If a transversal intersects two parallel lines, then ____.
a. corresponding angles are supplementary
b. same-side interior angles are complementary
c. alternate interior angles are congruent
d. none of these
____
3. Which lines, if any, can you conclude are parallel given that
with a theorem or postulate.
? Justify your conclusion
g
1
j
a.
b.
c.
d.
2
h
k
, by the Converse of the Same-Side Interior Angles Theorem
, by the Converse of the Alternate Interior Angles Theorem
, by the Converse of the Alternate Interior Angles Theorem
, by the Converse of the Same-Side Interior Angles Theorem
____
4. How many sides does a regular polygon have if each exterior angle measures 20?
a. 17 sides
b. 20 sides
c. 21 sides
d. 18 sides
____
5. Write an equation in point-slope form of the line through point J(–5, 6) with slope –4.
a.
c.
b.
d.
____
3
6. Which of the following is the graph of y =  x – 1.
4
y
a.
c.
–6
–4
6
6
4
4
2
2
–2
2
4
6
–4
–2
–2
–4
–4
–6
–6
d.
y
–4
–6
x
–2
b.
–6
y
6
4
4
2
2
2
4
6
–6
x
4
6
x
2
4
6
x
y
6
–2
2
–4
–2
–2
–2
–4
–4
–6
–6
____
7. One way to show that a statement is NOT a good definition is to find a ____.
a. converse
c. biconditional
b. conditional
d. counterexample
____
8. Name the ray that is opposite
D
C
B
A
a.
b.
c.
d.
____
1
9. Which of the following is the graph of the line that goes through point (–5, 5) with slope .
5
y
y
a.
c.
–6
–4
6
6
4
4
2
2
–2
2
4
6
–2
–4
–4
–6
–6
d.
y
–4
–4
–2
b.
–6
–6
x
–2
6
4
4
2
2
2
4
6
4
6
x
2
4
6
x
y
6
–2
2
–6
x
–4
–2
–2
–2
–4
–4
–6
–6
____ 10. Name the three labeled segments that are parallel to
a.
,
,
b.
,
,
c.
,
,
,
d.
,
,
11. Give the missing reasons in this proof of the Alternate Interior Angles Theorem.
Given:
Prove:
Statements
1.
2.
3.
4.
l is parallel to n
2  6
4  2
6  4
Reasons
1. Given
a.______________________________________
b.______________________________________
c.______________________________________
12. Find the measure of each numbered angle. The diagram is not to scale.
12. m1  _____
m2  _____
m3  _____
m4  _____
m5  _____
m6  _____
m7  _____
m8  _____
m9  _____
5
122 o
4
6
1
2
9
8
3
7
13. Find the measure of one interior angle and one exterior angle of a regular Dodecagon.
13. Interior Angle:__________
Exterior Angle:_________
14. Find the value of the variable if
1
The diagram is not to scale.
14. x = ________
2
3
and
l
4
5
6
7
8
m
15. Find the values of x, y, and z. The diagram is not to scale.
38°
15. x = _______
y = _______
19°
56°
x°
z = _______
z°
y°
16. Find the value of x. The diagram is not to scale.
Given:
,
,
16. x = ________
S
R
T
U
17. Fill in the blank. When a conditional and its converse are true, you can combine them as a true
______________________.
18.
bisects
diagram is not to scale.
and
Solve for x and find
The
18. x = _______________
mLMN  ________
19. If
find the values of x, EF, and FG. The drawing is not to scale.
E
F
G
19. x = __________
EF = _________
FG = _________
20. Find the value of k. The diagram is not to scale.
20. k = ________
62°
k°
45°
21. Find the value of x. The diagram is not to scale.
21. x = ________
72°
105°
x°
22. Find the missing values of the variables. The diagram is not to scale.
22. x = ________
125°
x°
124° y°
23. Find
y = ________
65°
. The diagram is not to scale.
23. mA  ________
96°
118°
115°
104°
A
24. Based on the pattern, what are the next two terms of the sequence?
9, 15, 21, 27, . . .
24. ____ , ____
25. Find the values of x and y.
25. x = ________
y = ________
4y°
112°
7x + 7°
Drawing not to scale
Tell whether the lines through the given points are parallel, perpendicular, or neither.
26.
Line 1: (1, 2), (2, 0)
Line 2: (0, -1),(-2, -2)
27. Line 1: (0, 1), (1, 4)
Line 2: (3, 2), (6, 3)
26. _____________
27. ____________
Write an equation of the line that passes through point P and is parallel to the line with the given equation.
28. _____________
28. P(-1, 3), y = 4x - 2
Write an equation of the line that passes through point P and is perpendicular to the line with the given equation.
29. _____________
29. P(4, 3), y = -x + 5
Write an equation of the line in point-slope form using the given slope that contains the given point.
30. _____________
30. P(1, -5), slope= -2
Graph the equations!!!
31.
2x – 3y = -6
32.
y – 3 = -2(x + 4)