1. Geometry
11.2 Take the Wheel

4. 11.2 Central Angles, Inscribed Angles, and Intercepted Angles
Objectives
Determine the measures of arcs.
Use the arc Addition Postulate
Determine the measures of central angles and inscribed angles.
Prove the Inscribed Angle Theorem.
Prove the Parallel Lines-Congruent Arcs Theorem.

5. Problem 1: Keep Both Hands on the Wheel
The degree measure of the minor arc is the same measure as the central angle.
Collaborate 1-3 (7 Minutes)

6. Problem 1: Keep Both Hands on the Wheel
Adjacent Arcs: Arcs on a circle that are connected. Share a common endpoint.
Arc Addition Postulate: The measure of an arc formed by two adjacent arcs is the sum of the measures of the two arcs.
Collaborate 4-5 (2 Minutes)

7. Problem 1: Keep Both Hands on the Wheel
Intercepted Arc: Part of the circle located between the endpoints of an angle.
Collaborate #6 (1 Minute)

8. Problem 1: Keep Both Hands on the Wheel
Together #7 (Sketchpad)
Central Angles with Inscribed Angles
Together 8-9
Collaborate #10 (1 Minute)
Inscribed Angle Theorem
The measure of an inscribed angle is half the measure of its intercepted arc.
Together #12

9. Problem 2: Parallel Lines Intersecting a Circle
Parallel Lines-Congruent Arcs Theorem
Parallel lines intersect congruent arcs on a circle.
Sketchpad: Parallel Lines and Congruent Arcs

10. Talk the Talk Pg
Collaborate 1-3 (5 Minutes)

11. Talk the Talk Pg

12. Talk the Talk Pg

13. Talk the Talk Pg 3.

14. Formative Assessment Skills Practice 11.2 Pg. 786-793 (1-36) Odd
We will discuss Vocabulary
Do not have to write them all out