Unit Test — Unit test Answers

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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.

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A
134°
B
150°
C
209°
D
210°
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.

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

Line segment ON is perpendicular to line segment ML.

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

A circle is shown. Secant A D and tangent E D intersect at point D outside of the circle. Secant A D intersects the circle at point B. The length of A B is a, the length of B D is 10, and the length of D E is 12.

Question illustration
A
12(a + 12) = 102
B
10 + 12 = a2
C
10(a + 10) = 122
D
10(12) = a2
5

Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units.The center of the circle lies on the x-axis.The center of the circle lies on the y-axis.The standard form of the equation is (x – 1)² + y² = 3.The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

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.
6

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°
7

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
8

A parabola can be represented by the equation x2 = 2y.

A
focus: (0,8); directrix: y = –8
B
focus: ; directrix: y =
Option B
C
focus: (8,0); directrix: x = –8
D
focus: ; directrix: x =
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

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
11

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°
12

A parabola and its focus are shown on the graph. The vertex of the parabola is at (0,0).

Question illustration
A
y = 3
B
y = –3
C
x = 3
D
x = –3
13

A general formula for a parabola is x2=4py.What is the value of p in the equation x2=12y?

A
p=3
B
p=4
C
p=6
D
p=12
14

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
15

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.
16

Segments RT and SU are diameters of circle O.

Question illustration
A
258°
B
266°
C
274°
D
282°
17

In circle D, ∠EDH ≅ ∠EDG.

Question illustration
A
4 units
B
5 units
C
6 units
D
9 units
18

Line segment SU is a diameter of circle V.

Question illustration
A
56°
B
68°
C
112°
D
163°
19

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
20

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.

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