Unit Test — Unit test Answers

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Line segment ON is perpendicular to line segment ML.

Question illustration
A
1 unit
B
2 units
C
3 units
D
4 units
2
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Which is true regarding secants and chords?

A
Chords intersect the perimeter of a circle at two points. Secants intersect the perimeter of a circle once.
B
Chords intersect the perimeter of a circle at one point. Secants intersect the perimeter of a circle twice.
C
Chords and secants intersect the perimeter of a circle twice. Chords are segments entirely within a circle, while secants are lines or rays that extend through a circle.
D
Chords and secants intersect the perimeter of a circle twice. Chords are lines or rays that extend through a circle, while secants are segments entirely within a circle.
3

Circle O has a circumference of 36π cm.

Question illustration
A
6 cm
B
18 cm
C
36 cm
D
72 cm
4

Circle A is shown. Secant W Y intersects tangent Z Y at point Y outside of the circle. Secant W Y intersects circle A at point X. Arc X Z is 105 degrees and arc W Z is 175 degrees.

Question illustration
A
35°
B
70°
C
75°
D
140°
5

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
6

Circle O is shown. Chords K M and J L intersect at point A. The measure of arc K J is 170 degrees. The measure of arc L M is 80 degrees.

Question illustration
A
50°
B
55°
C
125°
D
250°
7

AD and MN are chords that intersect at point B.

Question illustration
A
4 units
B
6 units
C
18 units
D
24 units
8

Circle C is shown. Radius A has a length of r.

Question illustration
A
32
Option A
B
64
Option B
C
256
Option C
D
1024
Option D
9

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
10

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°.
11

In circle T, ∠PTQ ≅ ∠RTS.

Question illustration
A
24°
B
33°
C
48°
D
66°
12

Circle D is shown with the measures of the minor arcs.

Question illustration
A
EH and EF
B
GH and FE
C
FG and EH
D
EF and GF
13

The diagram below shows the partial construction of which shape?

Question illustration
A
a regular hexagon inscribed in a circle
B
an equilateral triangle inscribed in a circle
C
a square inscribed in a circle
D
a similar circle inscribed in a circle
14

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
15

A point is on a circle if the distance from the center of the circle to the point is equal to the

A
area.
B
circumference.
C
radius.
D
diameter.
16

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°
17

The diameter of one circle is represented by 12x. The diameter of another circle is represented by . What is the ratio of the radii of the two circles?

Question illustration
A
mc024-2.jpg
Option A
B
2x:y
C
x:2y
D
2:xy
18

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
19

Segments RT and SU are diameters of circle O.

Question illustration
A
258°
B
266°
C
274°
D
282°
20

Circle D is inscribed with triangle A B C. The measure of arc A B is 76 degrees. Point E is on the circle between points B and C.

Question illustration
A
134°
B
150°
C
209°
D
210°

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