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Inscribed and Circumscribed Angles in Circles

Inscribed and Circumscribed Angles in Circles

Assessment

Presentation

Mathematics

9th Grade

Hard

Created by

Joseph Anderson

FREE Resource

8 Slides • 9 Questions

1

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Tangent Segments and Circumscribed Angles

2

Students will be able to solve problems involving tangent lines of circles and circumscribed angles with 80% class accuracy!

Objective

GM: G-C.A.2 Identify and describe relationships among inscribed angles, radii, and chords, including the following: the relationship that exists between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; and a radius of a circle is perpendicular to the tangent where the radius intersects the circle

Standard

Standard and Learning Objective

3

Multiple Choice

What is the diameter of a circle

1

pi

2

The longest chord (the chord must pass through the center)

3

Any line segment inside a circle

4

A straight line starting at the center and going to the circumference of a circle

4

Multiple Choice

What is the radius of a circle

1

pi

2

The longest chord (the chord must pass through the center)

3

Any line segment inside a circle

4

A straight line starting at the center and going to the circumference of a circle

5

Multiple Choice

Question image

What is the radius of this circle?

1

12

2

8

3

6

4

4

6

Multiple Choice

Question image

What is the diameter of this circle?

1

12

2

8

3

6

4

4

7

Multiple Choice

Question image

What is the measure of arc PQ?

1

85

2

170

3

42.5

4

8.5

8

Multiple Choice

Question image

What is the measure of angle PQR?

1

90

2

180

3

9

4

45

9

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Point of tangency

tangent segment

10

Fill in the Blanks

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Type answer...

11

A______________ is an angle formed by

two rays from a common endpoint that are tangent to a circle.

12

A circumscribed angle is an angle formed by

two rays from a common endpoint that are tangent to a circle.

13

Fill in the Blanks

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Type answer...

14

Fill in the Blanks

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Type answer...

15

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16

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17

Let's Practice!

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Tangent Segments and Circumscribed Angles

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