Circles Module Quiz Form PDF Details

In mathematics, a circle is a simple closed shape. It is the set of all points in a plane that are at a fixed distance from a given point, the center of the circle. The distance between any two points on the circle is called the radius. A circle is defined by its diameter, which is the length of a line segment that connects two opposite points on the circle. The circumference of a circle is the distance around it. In this quiz you will be asked to solve problems related to circles. Good luck!

QuestionAnswer
Form NameCircles Module Quiz Form
Form Length4 pages
Fillable?No
Fillable fields0
Avg. time to fill out1 min
Other namesmodule 15 angles and segments in circles answer key, angles and segments in circles module quiz, module 19 angles and segments in circles answer key, module 15 angles andsegments quiz answers

Form Preview Example

Name ________________________________________ Date __________________ Class__________________

MODULE

15

Angles and Segments in Circles

MODULE QUIZ: B

For 1–2, use the diagram and information below.

1. What is the value of X?

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2.If mBC = 60° and mAD = 30°, what is mBPC?

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3.In a circle, what is the difference between a secant line and a tangent line?

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________________________________________

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4.Chords AB and BD form an inscribed angle of 5X degrees. If mAD = 70°, what is the value of X?

________________________________________

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5.A quadrilateral is inscribed in a circle.

If angles 1 and 2 are opposite angles of the quadrilateral, m1= 79,and

m2 = (1 + 4X)°, what is the value of X?

________________________________________

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6.In the figure above, mABC = 70° and AB is tangent to the circle. If mPQ = 60°,

what is mQR?

________________________________________

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For 7–9, use the diagram below.

7. What is the measure of ABC?

________________________________________

8. What is the measure of DAB?

________________________________________

Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.

71

Name ________________________________________ Date __________________ Class__________________

MODULE

15

Angles and Segments in Circles

MODULE QUIZ: B

9.Explain why CA must be a diameter of the circle.

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________________________________________

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For 10–11, use the diagram below.

10. Find the value of X.

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11. Find the value of Y.

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12.Chords AB and CD intersect within a circle at point P. If mAC = 48° and mDPB = 80°, what is mDB

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13. In the circle centered at point O, mAB = 40°, mBC = X°, and mAC = 65°. What is the value of X?

For 14–16, use the circle centered at point O below.

14. If mBOC = 120°, find mPBC.

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15. Find mAB.

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16. Is AC a diameter of the circle? Explain.

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17.What is the value of X in the diagram below?

________________________________________

________________________________________

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Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.

72

Geometry

Name___________________________________ ID: 1

© 2 0 1 6 K u t a S o f t w a r e L L C .

A l l r i g h t s r e s e r v e d .

Assignment

Date________________ Period____

Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.

1) Find mEG

x + 160

G

x + 80 E

2)mADC = x + 220

Find mADC

 

 

D

 

x + 110

A

C

 

 

 

FB

Solve for x. Assume that lines which appear tangent are tangent.

3)

T

4)

 

 

 

C

 

 

B

 

 

 

U

6x + 18

 

90°

 

 

 

14x + 12

V

A

179x + 1

5)

 

6)

 

180°

 

168°

 

 

 

 

G

K

 

 

 

11x + 3

N

13x + 5

 

 

 

F

 

 

 

E

H

M

 

C

50°

39°

 

 

 

L

 

 

 

7)

8)

 

x + 76

G

 

F

 

D

 

91x + 7

 

F

 

 

 

11x + 7 E

 

 

E

 

2x + 208

 

 

© 2 0 1 6 K u t a S o f t w a r e L L C . A l l r i g h t s r e s e r v e d . -1M- a d e w i t h I n f i n i t e G e o m e t r y .

Find the measure of the arc or angle indicated.

9)

 

 

10)

X

 

 

 

 

 

D

 

 

?

 

 

 

 

 

 

?

N

 

 

 

 

 

 

64°

 

57°

Y

 

 

 

 

 

 

 

 

E

 

F

 

 

 

 

 

 

 

 

 

Z

Solve for x and y.

11)

 

K

 

 

 

35x + 2

 

L

F

 

20x + 3

8 y + 13

 

 

4 y + 21

 

 

M

Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.

12) mXT

13) m DBE

U

C

D

V

T

2x + 62

6 + 31x

E

 

B

 

W

2x + 124

G

 

X

13x - 2 F

© 2 0 1 6 K u t a S o f t w a r e L L C .

A l l r i g h t s r e s e r v e d .-2-M a d e w i t h I n f i n i t e G e o m e t r y .

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module 15 circles writing process detailed (portion 1)

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and, DPB, and Find the value of y of module 15 circles

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