Title: (Canvas-Quiz)G12_Circles Relationships
Course: HBUHSD Geometry Resource Course > Section: Unit 8: Circles

Q: Assume that lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x. (Figures are not drawn to scale.)

135
- 45
- 67.5
- 315
- 270
A: 45

Q: Assume that lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x. (Figures are not drawn to scale.)

14
- 28
- 76
- 38
- 104
A: 76

Q: In the figure, and are tangent to circle O and bisects . The figure is not drawn to scale.

For = 46, find .
- 23
- 90
- 46
- 68
A: 46

Q: In the figure, and are tangent to circle O and bisects . The figure is not drawn to scale.

For = 53, find .
- 143
- 37
- 53
- 63.5
A: 37

Q: is tangent to . If and , what is ?
The diagram is not to scale.
- 74
- 94
- 70
- 100
A: 70

Q: A satellite is 6,000 miles from the horizon of Earth. Earth’s radius is about 4,000 miles. Find the approximate distance the satellite is from the point directly below it on Earth’s surface.
The diagram is not to scale.
- 3,211 miles
- 8,653 miles
- 7,211 miles
- miles
A: 3,211 miles

Q: is tangent to circle A at B and to circle D at C (not drawn to scale).
AB = 9, BC = 26, and DC = 8. Find AD to the nearest tenth.
- 27.5
- 31.1
- 26
- 27.2
A: 26

Q: A chain fits tightly around two gears as shown. The distance between the centers of the gears is 37 inches. The radius of the larger gear is 13 inches. Find the radius of the smaller gear. Round your answer to the nearest tenth, if necessary. The diagram is not to scale.
- 13 inches
- 8.5 inches
- 21.5 inches
- 4.5 inches
A: 4.5 inches

Q: is tangent to circle O at B. Find the length of the radius r for AB = 9 and AO = 10.5. Round to the nearest tenth if necessary. The diagram is not to scale.
- 5.4
- 2.3
- 1.5
- 13.8
A: 5.4

Q: Pentagon RSTUV is circumscribed about a circle. Solve for x for RS = 10, ST = 13,
TU = 11, UV = 12, and VR = 12. The figure is not drawn to scale.
- 4
- 8
- 11
- 6
A: 4

Q: and are all tangent to circle O (not drawn to scale), and . JA = 9, AL = 10, and
CK = 14. Find the perimeter of .
- 66
- 38
- 46
- 33
A: 66

Q: Circle O and circle P are congruent. What can you conclude from the diagram?
- none of these
A: (a choice with no text)

Q: Circle O and circle P are congruent. Given , what can you conclude from the diagram?
- and
- none of these
A: and

Q: In circle A, , , , MO = 5 ft
What is PO?
- 10 ft
- 2.5 ft
- 5 ft
- 25 ft
A: 2.5 ft

Q: In circle Z, , , , DF = 18 in.
What is BC?
- 36 in.
- 18 in.
- 27 in.
- 9 in.
A: 18 in.

Q: Find the value of x. If necessary, round your answer to the nearest tenth. O is the center of the circle. The figure is not drawn to scale.
- 12
- 9
- 15
- 5
A: 15

Q: Find the value of x. If necessary, round your answer to the nearest tenth. O is the center of the circle. The figure is not drawn to scale.
- 11.2
- 20.6
- 125
- 19.4
A: 11.2

Q: Find the value of x. If necessary, round your answer to the nearest tenth. O is the center of the circle. The figure is not drawn to scale.
- 13
- 26
- 77
- 38.5
A: 77

Q: Find the value of x. If necessary, round your answer to the nearest tenth. O is the center of the circle. The figure is not drawn to scale.

, , FG = 25, RS = 28, OP = 19
- 14
- 22.4
- 19
- 17.9
A: 17.9

Q: Use the diagram. is a diameter, and . The figure is not drawn to scale.

Which statement is NOT true?
A: (a choice with no text)

Q: Use the diagram. is a diameter, and . The figure is not drawn to scale.

Find m for m = 59.
- 121
- 149
- 118
- 31
A: 121

Q: and are diameters. Find the measure of . (The figure is not drawn to scale.)
- 290
- 70
- 211
- 259
A: 211

Q: The radius of circle O is 18, and OC = 13. Find AB. Round to the nearest tenth, if necessary. (The figure is not drawn to scale.)
- 12.4
- 3.8
- 24.9
- 44.4
A: 24.9

Q: Find the measure of BAC in circle O. (The figure is not drawn to scale.)
- 50
- 80
- 20
- 40
A: 20

Q: Find x in circle O. (The figure is not drawn to scale.)
- 82
- 20.5
- 49
- 41
A: 20.5

Q: Find mBAC in circle O. (The figure is not drawn to scale.)
- 170
- 95
- 47.5
- 42.5
A: 47.5

Q: Find the measures of the indicated angles in circle O. Which statement is NOT true? (The figure is not drawn to scale.)
- a = 53
- b = 106
- c = 73
- d = 37
A: c = 73

Q: In circle O, mR = 23. Find mO. (The figure is not drawn to scale.)
- 46
- 23
- 67
- 157
A: 46

Q: Given that DAB and DCB are right angles and mBDC = 52°, what is ? (The figure is not drawn to scale.)
- 284
- 312
- 336
- 208
A: 284

Q: If , what is ?
A: (a choice with no text)

Q: is tangent to circle O at C, , and . Find mDCE.
(The figure is not drawn to scale.)
- 100
- 50
- 120
- 60
A: 60

Q: is tangent to circle O at A. If , what is mYAC?  (The figure is not drawn to scale.)
- 132
- 48
- 78
- 156
A: 78

Q: is tangent to the circle at C.  In the circle, , and mD = 78. Find mDCQ.
(The figure is not drawn to scale.)
- 112
- 190
- 56
- 95
A: 56

Q: is tangent to the circle at C.  In the circle, . Find mBCP.
(The figure is not drawn to scale.)
- 42.5
- 95
- 170
- 85
A: 42.5

Q: , and is tangent to the circle at R. Find mU.
(The figure is not drawn to scale.)
- 19
- 30
- 38
- 60
A: 19

Q: and . Find mA. (The figure is not drawn to scale.)
- 33.5
- 93.5
- 86.5
- 67
A: 33.5

Q: Find the value of x for and . (The figure is not drawn to scale.)
- 35.5
- 58.5
- 71
- 21
A: 35.5

Q: is tangent to the circle at A and is tangent to the circle at C. Find mD for mB = 56. (The figure is not drawn to scale.)
- 136
- 124
- 68
- 62
A: 68

Q: A park maintenance person stands 16 m from a circular monument. Assume that her lines of sight form tangents to the monument and make an angle of 56°. What is the measure of the arc of the monument that her lines of sight intersect?
- 124
- 248
- 112
- 28
A: 124

Q: The lines in the figure are tangent to the circle at points A and B.  Find the measure of value of for . (The figure is not drawn to scale.)
- 284
- 19
- 142
- 76
A: 142

Q: The farthest distance a satellite signal can directly reach is the length of the segment tangent to the curve of Earth’s surface. If the measure of the angle formed by the tangent satellite signals is 137, what is the measure of the intercepted arc on Earth? (The figure is not drawn to scale.)
- 86
- 43
- 274
- 68.5
A: 43

Q: A footbridge is in the shape of an arc of a circle. The bridge is 3.5 ft tall and 20 ft wide. What is the radius of the circle that contains the bridge? Round to the nearest tenth.
- 28.6 ft
- 32.1 ft
- 58.9 ft
- 16 ft
A: 16 ft

Q: Compare the quantity in Column A with the quantity in Column B.  is tangent to the circle at A.

Column A | Column B
- The quantity in Column A is greater.
- The quantity in Column B is greater.
- The two quantities are equal.
- The relationship cannot be determined from the information given.
A: The quantity in Column B is greater.

Q: Find the value of x. If necessary, round your answer to the nearest tenth. The figures are not drawn to scale.

The figure consists of a tangent and a secant to the circle.
- 9.2
- 7.7
- 14.3
- 85
A: 9.2

Q: Find the value of x. If necessary, round your answer to the nearest tenth. The figures are not drawn to scale.
- 3.4
- 24
- 96
- 10.7
A: 10.7

Q: Find the value of x. If necessary, round your answer to the nearest tenth. The figures are not drawn to scale.

AB = 20, BC = 6, and CD = 8
- 18.5
- 11.5
- 19.5
- 15
A: 11.5

Q: Find the value of x. If necessary, round your answer to the nearest tenth. The figures are not drawn to scale.

The figure consists of a chord, a secant, and a tangent to the circle. Round to the nearest hundredth, if necessary.
- 15.75
- 9
- 5.14
- 28
A: 15.75

Q: is tangent to circle O at D. Find the diameter of the circle for BC = 13 and DC = 30. Round to the nearest tenth.
(The diagram is not drawn to scale.)
- 82.2
- 56.2
- 10.7
- 69.2
A: 56.2

Q: is tangent to circle O at D. Find AB. Round to the nearest tenth if necessary.
- 3.7
- 20.2
- 8.5
- 8.4
A: 8.4

Q: Write the standard equation of the circle in the graph.
- (x + 3)^ + (y – 2)^ = 9
- (x – 3)^ + (y + 2)^ = 9
- (x – 3)^ + (y + 2)^ = 18
- (x + 3)^ + (y – 2)^ = 18
A: (x – 3)^ + (y + 2)^ = 9

Q: A low-wattage radio station can be heard only within a certain distance from the station. On the graph below, the circular region represents that part of the city where the station can be heard, and the center of the circle represents the location of the station. Which equation represents the boundary for the region where the station can be heard?
- (x – 6)^ + (y – 1)^ = 32
- (x + 6)^ + (y + 1)^ = 32
- (x – 6)^ + (y – 1)^ = 16
- (x + 6)^ + (y + 1)^ = 16
A: (x + 6)^ + (y + 1)^ = 16

Q: Write the standard equation for the circle.

center (10, –6), r = 6
- (x + 10)^ + (y – 6)^ = 6
- (x + 6)^ + (y – 10)^ = 36
- (x – 10)^ + (y + 6)^ = 36
- (x – 10)^ + (y + 6)^ = 6
A: (x – 10)^ + (y + 6)^ = 36

Q: Write the standard equation for the circle.

center (–6, –8), that passes through (0, 0)
- (x – 6)^ + (y – 8)^ = 10
- (x – 6)^ + (y – 8)^ = 196
- (x + 6)^ + (y + 8)^ = 14
- (x + 6)^ + (y + 8)^ = 100
A: (x + 6)^ + (y + 8)^ = 100

Q: Find the center and radius of the circle with equation (x – 3)^ + (y – 6)^ = 4.
- center (–3, –6); r = 4
- center (–6, –3); r = 2
- center (3, 6); r = 4
- center (3, 6); r = 2
A: center (3, 6); r = 2

Q: The center of a circle is (h, 7) and the radius is 10. The circle passes through (3, –1). Find all possible values of h.
- 8, –7
- 9, –3
- 9, –5
- 10, 3
A: 9, –3

Q: What is the equation of the circle with center (3, 5) that passes through the point (–4, 10)?
A: (a choice with no text)

Q: What is the equation of the circle with center (0, 0) that passes through the point (–8, 3)?
A: (a choice with no text)

Q: A manufacturer is designing a two-wheeled cart that can maneuver through tight spaces. On one test model, the wheel placement (center) and radius is modeled by the equation . What is the graph that shows the position and radius of the wheels?
A: (a choice with no text)

Q: Write the equation of the locus of all points in the coordinate plane 10 units from (5, 4).
- (x + 5)^ + (y + 4)^ = 10
- (x – 5)^ + (y – 4)^ = 100
- (x – 4)^ + (y – 5)^ = 100
- (x – 5)^ + (y – 4)^ = 10
A: (x – 5)^ + (y – 4)^ = 100

Q: Describe the locus that the figure represents.
- all points 1 cm from line l
- all points equidistant from line l
- all points equidistant from point A and point B
- none of these
A: all points equidistant from point A and point B

Q: What is the locus of all points equidistant from lines X and Y in the figure?
- line A
- line B
- line C
- line D
A: line D

Q: Describe the locus in space.

points 4 mm from
- an endless cylinder with radius 4 mm and centerline
- a sphere of radius 4 cm
- two lines parallel to , each 4 mm from
- two planes parallel to , each 4 mm from
A: an endless cylinder with radius 4 mm and centerline

Q: Describe the locus in space.

points 5 cm from a point C
- a sphere of radius 5 cm, centered at C
- a circle of radius 5 cm, centered at C
- an endless cylinder with radius 5 cm
- a hemisphere of radius 5 cm, centered at C
A: a sphere of radius 5 cm, centered at C

Q: Describe the locus in space.

points 3 in. from plane K
- a circle of radius 3 cm, centered at K
- two planes parallel to plane K, each 3 in. from K
- two lines parallel to plane K, each 3 in. from K
- a sphere of radius 3 cm, centered at K
A: two planes parallel to plane K, each 3 in. from K