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Transcript
Geometry Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Which angles are corresponding angles?
a.
b.
____
c.
d. none of these
2. Which statement is true?
a.
b.
c.
d.
____
are same-side angles.
are same-side angles.
are alternate interior angles.
are alternate interior angles.
3. Which is a correct two-column proof?
Given:
Prove:
and
n
are supplementary.
p
d
l
b
c
h
j
a.
k
m
b.
c.
d. none of these
____
4. Line r is parallel to line t. Find m 5. The diagram is not to scale.
r
7
135°
1
t
a. 45
____
3
4
2
5
b. 35
5. Find the value of the variable if
6
c. 135
and
d. 145
The diagram is not to scale.
1
2
3
l
4
5
6
7
m
8
a. 1
b. 2
c. 3
d. –2
____
6. 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
____
7. Complete the statement. If a transversal intersects two parallel lines, then ____ angles are supplementary.
a. acute
c. same-side interior
b. alternate interior
d. corresponding
____
8. Which is a correct two-column proof?
Given:
and
are supplementary.
Prove:
k
A
C D
E F
G H
a.
b.
B
j
l
c.
d. none of these
____
9. 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
____ 10. Find the value of k. The diagram is not to scale.
62°
45°
a. 17
k°
b. 73
c. 118
____ 11. Find the values of x, y, and z. The diagram is not to scale.
d. 107
38°
19°
56°
x°
z°
y°
a.
b.
c.
d.
____ 12. Classify the triangle by its sides. The diagram is not to scale.
9
9
9
a. straight
b. scalene
c. isosceles
d. equilateral
____ 13. Classify ABC by its angles, when m A = 32, m B = 85, and m C = 63.
a. right
b. straight
c. obtuse
d. acute
____ 14. Find the value of x. The diagram is not to scale.
72°
105°
a. 33
x°
b. 162
c. 147
d. 75
c. pentagon
d. octagon
____ 15. Classify the polygon by its sides.
a. triangle
b. hexagon
____ 16. The chips used in the board game MathFuries have the shape of hexagons. How many sides does each
MathFuries chip have?
a. 5
b. 6
c. 8
d. 10
____ 17. Find the sum of the measures of the angles of the figure.
a. 540
b. 180
c. 360
d. 900
____ 18. 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
____ 19. Find the missing values of the variables. The diagram is not to scale.
125°
x°
124° y°
65°
a. x = 124, y = 125
b. x = 56, y = 114
____ 20. Find
c. x = 114, y = 56
d. x = 56, y = 124
. The diagram is not to scale.
96°
118°
115°
104°
a. 107
A
b. 117
c. 63
d. 73