Unit Test — Unit test Answers

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Line segment KL is tangent to circle J at point K.

Question illustration
A
8 units
B
10 units
C
12 units
D
16 units
2
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Circle G and X connect at point Y. The length of G Y is 10 centimeters and the length of Y X is 16 centimeters.

Question illustration
A
10
Option A
B
16
Option B
C
356
Option C
D
676
Option D
3

Which equation represents the circle described?The radius is 2 units. The center is the same as the center of a circle whose equation is x2 + y2 – 8x – 6y + 24 = 0.

A
(x + 4)2 + (y + 3)2 = 2
B
(x – 4)2 + (y – 3)2 = 2
C
(x – 4)2 + (y – 3)2 = 2²
D
(x + 4)2 + (y + 3)2 = 2²
4

Circle L is shown. Line segments K L and M L are radii. The length of K L is 12. Angle M L K is 60 degrees. Sector M L K with a 60 degree angle is shaded.

Question illustration
A
12
Option A
B
24
Option B
C
120
Option C
D
144
Option D
5

Angle BCD is a circumscribed angle of circle A. Angle BAC measures 53°.

Question illustration
A
37°
B
53°
C
74°
D
106°
6

Line segment SU is a diameter of circle V.

Question illustration
A
56°
B
68°
C
112°
D
163°
7

In circle P, diameter QS measures 20 centimeters.

Question illustration
A
9.9 centimeters
B
19.9 centimeters
C
21.5 centimeters
D
43.0 centimeters
8

Circle O has a circumference of 36π cm.

Question illustration
A
6 cm
B
18 cm
C
36 cm
D
72 cm
9

In circle D, ∠EDH ≅ ∠EDG.

Question illustration
A
4 units
B
5 units
C
6 units
D
9 units
10

Circle T is shown. Angle Q S R intercepts arc Q R. Angle Q S R is 52 degrees.

Question illustration
A
26°
B
52°
C
104°
D
128°
11

Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options.

A
The radius of the circle is 3 units.
B
The center of the circle lies on the x-axis.
C
The center of the circle lies on the y-axis.
D
The standard form of the equation is (x – 1)² + y² = 3.
E
The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
12

Which statements about circle O are true? Select three options.

A
The radius of circle O is 13.
B
The diameter of circle O is 34.
C
LP is a diameter of circle O.
D
∠LMP intercepts a semicircle.
E
The measure of arc LP is 90°.
13

AD and MN are chords that intersect at point B.

Question illustration
A
4 units
B
6 units
C
18 units
D
24 units
14

Circle A is shown. Tangents L M and N M intersect at point M outside of the circle. Arc L N is 270 degrees.

Question illustration
A
75°
B
90°
C
120°
D
135°
15

Line segments XY and ZY are tangent to circle O.

Question illustration
A
an equilateral triangle
B
an isosceles triangle
C
a scalene triangle
D
a right triangle
16

Circle C is shown. Secants U W and Y W intersect at point W outside of the circle. Secant U W intersect the circle at point V and secant Y W intersects the circle at point X.

Question illustration
A
39°
B
41°
C
78°
D
82°
17

Circle B is shown. Line segments A B and C B are radii. The length of A B is 6. Sector A B C is shaded.

Question illustration
A
6
Option A
B
9
Option B
C
18
Option C
D
36
Option D
18

A Ferris wheel has a diameter of 42 feet. It rotates 3 times per minute. Approximately how far will a passenger travel during a 5-minute ride?

A
132 feet
B
659 feet
C
1,978 feet
D
3,956 feet
19

Consider circle Y with radius 3 m and central angle XYZ measuring 70°.

Question illustration
A
1.8 meters
B
3.7 meters
C
15.2 meters
D
18.8 meters
20

Line segment ON is perpendicular to line segment ML.

Question illustration
A
1 unit
B
2 units
C
3 units
D
4 units

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Unit Test — Unit test Answers — GCS 2023-2024…