

Inscribed and Circumscribed Angles in Circles
Presentation
•
Mathematics
•
9th Grade
•
Hard
Joseph Anderson
FREE Resource
8 Slides • 9 Questions
1
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
pi
The longest chord (the chord must pass through the center)
Any line segment inside a circle
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
pi
The longest chord (the chord must pass through the center)
Any line segment inside a circle
A straight line starting at the center and going to the circumference of a circle
5
Multiple Choice
What is the radius of this circle?
12
8
6
4
6
Multiple Choice
What is the diameter of this circle?
12
8
6
4
7
Multiple Choice
What is the measure of arc PQ?
85
170
42.5
8.5
8
Multiple Choice
What is the measure of angle PQR?
90
180
9
45
9
Point of tangency
tangent segment
10
Fill in the Blanks
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
Type answer...
14
Fill in the Blanks
Type answer...
15
16
17
Let's Practice!
Tangent Segments and Circumscribed Angles
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