AnswersMHS - Geometry - S2 - CRUnit Test

Unit Test — Cumulative exam Answers

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1
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Jacob is cutting a tile in the shape of a parallelogram. Two opposite angles have measures of (6n − 70)° and (2n + 10)°.What are the two different angle measures of the parallelogram-shaped tile?

A
20° and 160°
B
50° and 130°
C
30° and 150°
D
70° and 110°
2
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Line segment ON is perpendicular to line segment ML, and PN = 10.

Question illustration
A
200 square units
B
250 square units
C
300 square units
D
500 square units
3

Nine wolves, eight female and one male, are to be released into the wild three at a time.If the male wolf is to be in the first released group and order does not matter, in how many ways can the first group of three wolves be formed?

A
28 ways
B
36 ways
C
56 ways
D
84 ways
4

An interior angle of a regular polygon has a measure of 108°. What type of polygon is it?

A
pentagon
B
hexagon
C
octagon
D
nonagon
5

In circle O, AD and BE are diameters.

Question illustration
A
106°
B
132°
C
138°
D
164°
6

Circle R is shown. Tangents F G and H G intersect at point G outside of the circle to form an angle with a measure of 50 degrees. Point E is on the second arc. Arc F H has a measure of x degrees.

Question illustration
A
130°
B
230°
C
260°
D
310°
7

What is the measure of each exterior angle of a regular hexagon?

A
40°
B
45°
C
60°
D
72°
8

A survey asked about the number of people who eat breakfast almost every day (B) and the number of people who buy cereal at least once a month (C). The results of the survey are shown in the Venn diagram.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
9

Ryder shot a model rocket over an area that consists of two grassy areas, shown in green, and an area with no grass, shown in white.

Question illustration
A
0.2
B
0.3
C
0.4
D
0.6
10

A 15-meter by 23-meter garden is divided into two sections. Two sidewalks run along the diagonal of the square section and along the diagonal of the smaller rectangular section.

Question illustration
A
21.2 m
B
27.5 m
C
32.5 m
D
38.2 m
11

Which circle has a central angle that measures 40°?

A
Circle U is shown. Line segment Z X is a diameter. Line segment V X is a secant. Angle V X Z is 40 degrees.
Option A
B
Circle U is shown. Line segments U V and U Z are radii. Angle V U Z is 40 degrees.
Option B
C
Circle U is shown. Line segment Z V is a secant. Line segment Z X is a tangent. Angle X Z V is 40 degrees.
Option C
D
Circle U is shown. Line segments X V and X Z are secants. Angle V X Z is 40 degrees.
Option D
12

The manager of a grocery store reports that there is a 12 percent chance that a customer buys apples during a shopping trip, a 5 percent chance that a customer buy apples and carrots, and a 17 percent chance that a customer buys apples or carrots.What is the probability of a customer buying carrots?

A
1.4 percent
B
5.0 percent
C
10.0 percent
D
11.4 percent
13

The diagonals of a parallelogram are congruent. Which could be the parallelogram?

A
trapezoid
B
rectangle
C
kite
D
rhombus
14

A circular table top has a radius of 24 inches.What is the area of the table top, to the nearest square inch? Use 3.14 for .

Question illustration
A
75 in.2
B
151 in.2
C
1809 in.2
D
7235 in.2
15

Parallelogram A B C D is shown. Line segment X Y goes from point X on side A B to point Y on side C D to form 2 trapezoids. The length of X Y is 11 and the length of Y C is 4. Sides X B and C Y are congruent.

Question illustration
A
99 square units
B
110 square units
C
126 square units
D
143 square units
16

A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm.What is the approximate area of the heptagon rounded to the nearest whole number? Recall that a heptagon is a polygon with 7 sides.

A
1,173 cm2
B
2,125 cm2
C
2,359 cm2
D
4,250 cm2
17

Ariana, Boris, Cecile, and Diego are students in the service club. Three of the four students will be chosen to attend a conference.Which choice represents the sample space, S, for this event?

A
S = {ABC, ABD, ACD, BCD}
B
S = {ABC, BCA, CDA, DAC}
C
S = {ABC, ABD, BAC, BDA, ACD, ADC, BCD, BDC}
D
S = {ABC, ABD, ACD, BCA, BCD, BDC, CAB, CBD, DAC, DBC}
18

Which statements about the octagon are true? Select two options.

A
The length of segment YZ is 15.3 cm.
B
The measure of the angle formed by the radius and the apothem is 30°.
C
The length of segment XY can be found by solving for a in 202 – 7.652 = a2.
D
The length of segment WZ is 20 cm.
E
The measure of the central angle, ∠ZXW, is 45°.
19

Which polygon is a convex heptagon?

A
A polygon has 7 sides. No angles go inside of the shape.
Option A
B
A polygon has 8 sides. No angles go inside of the shape.
Option B
C
A polygon has 8 sides. One angle goes inside of the shape.
Option C
D
A polygon has 7 sides. One angle goes inside of the shape.
Option D
20

Which angle measures are correct? Select three options.

A
m∠X = 55°
B
m∠W = 125°
C
m∠W = 55°
D
m∠Z = 125°
E
m∠Z = 55°

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