Geometry 11.2 Take the Wheel.

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Presentation transcript:

Geometry 11.2 Take the Wheel

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.

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)

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)

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)

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

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

Talk the Talk Pg. 860-861 Collaborate 1-3 (5 Minutes)

Talk the Talk Pg. 860-861

Talk the Talk Pg. 860-861

Talk the Talk Pg. 860-861 3.

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