Unit Test — Unit test Answers

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In quadrilateral QRST, measures (5x+15)°. Angle TQR measures (4x+3)°.

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A
15°
B
75°
C
105°
D
165°
22
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Two circles are concentric if they have the same center.

Question illustration
A
(x – 4)2 + (y – 6)2 = 4
B
(x – 4)2 + (y – 6)2 = 16
C
(x – 6)2 + (y – 4)2 = 16
D
(x – 6)2 + (y – 4)2 = 4
23

What is the center of a circle represented by the equation (x−5)2+(y+6)2=42?

A
(−6,5)
B
(−5,6)
C
(5,−6)
D
(6,−5)
24

Which equation represents the general form a circle with a center at (–2, –3) and a diameter of 8 units?

A
x2 + y2 + 4x + 6y – 51 = 0
B
x² + y² – 4x – 6y – 51 = 0
C
x2 + y2 + 4x + 6y – 3 = 0
D
x2 + y2 – 4x – 6y – 3 = 0
25

UV and RV are secant segments that intersect at point V.

Question illustration
A
1 unit
B
1 units
Option B
C
2 units
Option C
D
3 units
26

Circle O is shown. Line segments C O And A O are radii. Lines are drawn from points C and A to point B to form chords B C and B A. Angle C B A is 80 degrees.

Question illustration
A
140°
B
150°
C
160°
D
170°
27

What is the radius of a circle whose equation is (x – 7)2 + (y – 10)2 = 4?

A
2 units
B
4 units
C
8 units
D
16 units
28

Which circle shows that measures 60°?

Question illustration
A
Circle O is shown. Line segments A and B are shown. The angle between the 2 segments is 60 degrees.
Option A
B
Circle O is shown. Line segment A is a tangent and line segment B is a secant. The angle between lines A and B is 60 degrees.
Option B
C
Circle O is shown. Line segments A O and B O are radii. Angle A O B is 60 degrees.
Option C
D
Circle O is shown. Line segment A Y is a secant. Line Y B is a diameter. Angle A Y B is 60 degrees.
Option D
29

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
30

Angle G is a circumscribed angle of circle E.

Question illustration
A
x° + x°
B
x° + 90°
C
180° – x°
D
180° – 2x°
31

Line segment BD passes through the center of circle C, BH = a, and HD = 8.

Question illustration
A
4.5 units
B
8 units
C
12 units
D
12.5 units
32

Line EF is tangent to circle G at point A.

Question illustration
A
90°
B
95°
C
190°
D
195°
33

What is the center of a circle represented by the equation (x+9)2+(y−6)2=102?

A
(−9,6)
B
(−6,9)
C
(6,−9)
D
(9,−6)
34

Circle H is shown. Line segments G H and J H are radii. The length of G H is 20. Angle G H J is 162 degrees.

Question illustration
A
20
Option A
B
40
Option B
C
180
Option C
D
400
Option D
35

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
36

A regular polygon is drawn in a circle so that each vertex is on the circle and is connected to the center by a radius. Each of the central angles has a measure of 40°. How many sides does the polygon have?

A
8
B
9
C
10
D
12
37

Circle F is congruent to circle J, and ∠EFD ≅ ∠GJH.m∠DFE = 80°. What is the measure of arc ?°

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