Name:_________________________
Geometry
Chapter 3 Test Make-Up
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
h
k
a.
b.
c.
d.
____
2
, by the Converse of the Alternate Interior Angles Theorem
, 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. 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
Short Answer
____
3. How many sides does a regular polygon have if each exterior angle measures 18?
____
4. Name the ray that is opposite
H
G
F
E
____
5. Write an equation in point-slope form of the line through point J(-2, -3) with slope 3.
____
6. Name a pair of corresponding angles?
____
4
7. Graph the line that goes through point (–4, –2) with slope  .
5
____
8. Name three segments that are parallel to
____
9. Fill in the blank. One way to show that a statement is NOT a good definition is to find a ______________.
3
____ 10. Graph the line y =  x – 2.
4
Short Answer
11. Find the measure of each numbered angle. The diagram is not to scale.
11. m1  _____
m2  _____
m3  _____
m4  _____
m5  _____
m6  _____
m7  _____
m8  _____
m9  _____
5
4
112 o
6
1
2
8
3
9
7
12. Find the value of k. The diagram is not to scale.
12. k = ________
59°
20°
k°
13.
Find the values of x, y, and z. The diagram is not to scale.
13. x = _______
44°
y = _______
12°
56°
x° z°
z = _______
y°
14. Find the missing values of the variables. The diagram is not to scale.
14. x = ________
x°
114° y°
120°
y = ________
63°
15. Complete this proof of the Alternate Interior Angles Theorem.
Given:
Prove:
1.
2.
3.
4.
Statements
Reasons
l is parallel to n
a.________________________________
c.________________________________
e.________________________________
1. Given
b.______________________________________
d.______________________________________
f.______________________________________
16. Find the value of x. The diagram is not to scale.
16. x = ________
44°
108°
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 = ________
20. Find the value of the variable if
4
The diagram is not to scale.
20. x = ________
3
1
and
l
2
5 6
7 8
m
21. Find the value of x. The diagram is not to scale.
Given:
,
,
S
R
T
U
21. x = ________
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, 15, 25, 35, . . .
24.
23. ____ , ____
Find the measure of one exterior angle and one interior angle of a regular decagon.
24. Interior Angle:_________
Exterior Angle:_________
25.
Find
. The diagram is not to scale.
25. mA  ________
93°
119°
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. P(-2, 7), y = 4x - 2
28. _____________
Write an equation of the line that passes through point P and is perpendicular to the line with the given equation.
29. P(1, 6), y = -2x + 2
29. _____________
Write an equation of the line in point-slope form using the given slope that contains the given point.
30. P(2, -9), slope= -5
30. _____________
Graph the equations!!!
31.
3x – 2y = -12
32.
y – 2 = -3(x + 4)