b
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 lines, if any, can you conclude are parallel given that
with a theorem or postulate.
? Justify your conclusion
g
1
j
2
h
k
a.
b.
c.
d.
, by the Converse of the Alternate Interior Angles Theorem
, by the Converse of the Same-Side Interior Angles Theorem
, by the Converse of the Same-Side Interior Angles Theorem
, by the Converse of the Alternate Interior Angles Theorem
____
2. How many sides does a regular polygon have if each exterior angle measures 36?
a. 12 sides
b. 9 sides
c. 10 sides
d. 13 sides
____
3. Name the ray that is opposite
H
G
F
E
a.
b.
c.
d.
____
4. Write an equation in point-slope form of the line through point J(2, 3) with slope 7.
a.
c.
b.
d.
____
5. Which angles are corresponding angles?
a.
b.
c.
d.
____
4
6. Which graph represents the line that goes through point (–5, –3) with slope  .
5
y
y
a.
c.
–6
–4
6
6
4
4
2
2
–2
2
6
–4
–4
–2
–4
–4
–6
–6
d.
y
–6
–6
x
–2
b.
____
4
–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
7. Name the three labeled segments that are parallel to
a.
,
,
b.
,
,
c.
,
,
,
d.
____
8. Complete the statement. If a transversal intersects two parallel lines, then ____.
a. alternate interior angles are congruent
b. same-side interior angles are complementary
c. corresponding angles are supplementary
d. none of these
____
9. One way to show that a statement is NOT a good definition is to find a ____.
a. converse
c. biconditional
b. counterexample
d. conditional
,
,
3
____ 10. Which graph represents the graph of the line 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
x
4
6
x
2
4
6
x
y
6
–2
2
–6
–4
–2
–2
–2
–4
–4
–6
–6
Short Answer
11. Find the measure of each numbered angle. The diagram is not to scale.
5
4
132 o
6
1
2
8
3
9
7
11. m1  _____
m2  _____
m3  _____
m4  _____
m5  _____
m6  _____
m7  _____
m8  _____
m9  _____
12. Find the value of k. The diagram is not to scale.
12. k = ________
69°
k°
20°
13. Find the values of x, y, and z. The diagram is not to scale.
13. x = _______
44°
y = _______
12°
z = _______
63°
x°
z°
y°
14. Find the missing values of the variables. The diagram is not to scale.
14. x = ________
124°
x°
114° y°
y = ________
69°
15. 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.______________________________________
16. Find the value of x. The diagram is not to scale.
16. x = ________
42°
102°
x°
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.
Find the values of x and y.
19. x = ________
y = ________
6y°
120°
8x – 8°
Drawing not to scale
20. Find the value of the variable if
1
The diagram is not to scale.
20. x = ________
2
3
and
l
4
5
6
7
8
m
21. Find the value of x. The diagram is not to scale.
Given:
,
,
21. x = ________
S
R
T
U
22. If
find the values of x, EF, and FG. The drawing is not to scale.
E
F
G
22. x = __________
EF = _________
FG = _________
23. Based on the pattern, what are the next two terms of the sequence?
5, 10, 15, 20, . . .
24.
23. ____ , ____
Find the measure of one exterior angle and one interior angle of a regular Nonagon.
24. Interior Angle:_________
Exterior Angle:_________
25.
Find
. The diagram is not to scale.
25. mA  ________
96°
118°
115°
104°
A
Tell whether the lines through the given points are parallel, perpendicular, or neither.
26. Line 1: (0, 1), (1, 4)
27. Line 1: (1, 2), (2, 0)
Line 2: (3, 2), (6, 3)
Line 2: (0, -1),(-2, -2)
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, 4), y = 7x - 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(3, 4), y = -x + 2
Write an equation of the line in point-slope form using the given slope that contains the given point.
30. _____________
30. P(3, -6), slope= -9
Graph the equations!!!
31.
3x – 2y = -6
32.
y – 4 = -2(x + 3)