Circles Module Quiz Form PDF Details

The Circles Module Quiz form serves as a comprehensive assessment, testing knowledge on angles and segments within circles, a fundamental concept in geometry. It challenges students to apply their understanding through a variety of questions that cover determining the values of unknown angles, comparing and contrasting secant and tangent lines, analyzing inscribed angles and quadrilaterals, and solving for angles and segments based on given information. This quiz not only assesses students' ability to solve for X and Y in the context of circles but also demands explanations that demonstrate a deep understanding of geometric principles, such as the significance of a diameter in a circle. The inclusion of diagrams for certain questions aids in visual learning and understanding, allowing students to apply theoretical knowledge to visual representations. This form, copyrighted by Houghton Mifflin Harcourt and further adapted by instructors, signifies the importance of intellectual property rights in educational materials. Additionally, problems from a secondary source, Kuta Software LLC, emphasize the practical application of geometry in solving for arcs and angles, with instructions to assume certain lines as tangent or diameters, thereby underscoring the real-world applicability of these geometric concepts.

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?

________________________________________

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

________________________________________

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

________________________________________

________________________________________

________________________________________

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

________________________________________

________________________________________

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?

________________________________________

________________________________________

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

what is mQR?

________________________________________

________________________________________

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.

________________________________________

________________________________________

________________________________________

For 10–11, use the diagram below.

10. Find the value of X.

________________________________________

11. Find the value of Y.

________________________________________

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

________________________________________

________________________________________

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.

________________________________________

________________________________________

15. Find mAB.

________________________________________

________________________________________

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

________________________________________

________________________________________

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

________________________________________

________________________________________

________________________________________

________________________________________

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

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