Unit Test — Unit test Answers

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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.

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A
130°
B
230°
C
260°
D
310°
2
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Consider circle N with radius 30 cm and radians.

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A
12.4 centimeters
B
15.7 centimeters
C
31.4 centimeters
D
36.7 centimeters
3

Arc QVT measures 156°.

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A
Angles QRT and QST both measure 78°.
B
Angles QRT and QST both measure 156°.
C
Angle QRT measures 78° and angle QST measures 102°.
D
Angle QRT measures 156° and angle QST measures 24°.
4

Which statements about the clock are accurate? Select three options.

A
The central angle formed when one hand points at 1 and the other hand points at 3 is 30°.
B
The circumference of the clock is approximately 62.8 inches.
C
The minor arc measure when one hand points at 12 and the other hand points at 4 is 120°.
D
The length of the major arc between 3 and 10 is approximately 31.4 inches.
E
The length of the minor arc between 6 and 7 is approximately 5.2 inches.
5

In circle O, MP is a diameter.

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A
139°
B
145°
C
151°
D
174°
6

Angle K measures 67º and angle L measures 119°.

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A
m = 61o and m = 113o
Option A
B
m = 67o and m = 119o
Option B
C
m = 113o and m = 61o
Option C
D
m = 119o and m = 67o
Option D
7

is tangent to circle P at point Q.

Question illustration
A
37°
B
53°
C
90°
D
97°
8

What is the radius of a circle whose equation is x2+y2+8x−6y+21=0?

A
2 units
B
3 units
C
4 units
D
5 units
9

Two chords intersect at a point inside a circle that is not the center of the circle. Which statement must be true?

A
The measures of each pair of opposite arcs sum to 180°.
B
Each angle measure is equal to the measure of the arc it intercepts.
C
The sum of the measures of each pair of vertical angles is equal to the sum of the measures of the intercepted arcs.
D
Each arc measure is equal to one-half the sum of the vertical angles that intercept the arc.
10

In circle O, AD and BE are diameters.

Question illustration
A
106°
B
132°
C
138°
D
164°
11

On a coordinate plane, a parabola opens to the left. It has a vertex at (0, 0), a focus at (negative 2, 0), and a directrix at x = 2.

Question illustration
A
y2 = –2x
B
y2 = –8x
C
x2 = –2y
D
x2 = –8y
12

Circle K is shown. Tangents S T and U T intersect at point T outside of the circle. A line is drawn from point T to point R on the opposite side of the circle. It goes through center point K. Lines are drawn from points S and U to center point K.

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
13

Circle O is shown. Tangents B C and B A intersect at point B outside of the circle. The measure of the first arc formed is 146 degrees.

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A
34°
B
45°
C
68°
D
73°
14

Circle B is shown. Line segments C B, D B, and E B are radii. Angle C B E is 52 degrees and angle E B D is 160 degrees.

Question illustration
A
106°
B
108°
C
148°
D
212°
15

A parabola has a vertex at the origin. The focus of the parabola is located at (–2,0).

A
y = 2
B
x = 2
C
y = –2
D
x = –2
16

Circle O has a circumference of approximately 28.3 cm.

Question illustration
A
4.5 cm
B
9.0 cm
C
14.2 cm
D
28.3 cm
17

Circle Y is shown. Chords R T and S U intersect. Arc R S is 106 degrees. The angle that intercepts arc R S is 94 degrees.

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A
82°
B
100°
C
106°
D
118°
18

All tangents to the circle are congruent and form a square. The perimeter of square ACEG is 24 cm.

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A
2 cm
B
3 cm
C
6 cm
D
8 cm
19

Consider circle C with angle ACB measuring radians.

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A
6 inches
B
12 inches
C
18 inches
D
24 inches
20

Triangle JKL is equilateral. One side of the triangle, JL, is a diameter of circle M. Which is true about line segments JK and KL?

A
Both segments are tangent to circle M but are not chords.
B
One segment is tangent to circle M and one segment is a chord in circle M.
C
Both segments are chords in circle M but are not tangents.
D
Neither segment is a chord nor tangent to circle M.

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