Geometry Section 8-3A Inscribed Angles Page 584

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Presentation transcript:

Geometry Section 8-3A Inscribed Angles Page 584 1 1 1

Worksheet Answer Key D B E A C 201.06 .79 28.27 52.36 126.1 603.19 37.7 21.46 73.06 5 12 3.91

Vocabulary: Inscribed Angle: An angle with its vertex on a circle and sides that contain chords of a circle. Pg. 584

Inscribed Angle Theorem: Inscribed Angles We know that the measure of a central angle is equal to the measure of the arc it contains. Pg. 576 Inscribed Angle Theorem: The measure of an inscribed angle is half the measure of its intercepted arc. 4

Find the measure of each angle or arc indicated by a variable. Try It: Find the measure of each angle or arc indicated by a variable. Pg. 585 48o

Find the measure of each angle or arc indicated by a variable. Try It: Find the measure of each angle or arc indicated by a variable. Pg. 585 80o

Find the measure of each angle or arc indicated by a variable. Try It: Find the measure of each angle or arc indicated by a variable. Pg. 585 90o

An inscribed angle that intercepts a semicircle is a right angle. Theorems: If two inscribed angles intercept the same arc, then they are congruent. Pg. 585 An inscribed angle that intercepts a semicircle is a right angle. 8

Exercises: Find the measure of each angle or arc. 136o #1 Pg. 586

Exercises: Find the measure of each angle or arc. 46o #2 Pg. 586

Exercises: Find the measure of each angle or arc. 90o #3 Pg. 586

Exercises: Find the measure of each angle or arc. a = 50o #4 Pg. 586 c = 80o b = 40o

Exercises: Find the measure of each angle or arc. d = 80o #5 e = 140o Pg. 586 e = 140o

Exercises: Find the measure of each angle or arc. x = 148o #6 Pg. 586

Exercises: ( Find the measure of each angle or arc. 98o 98o #8 - 12 mMN 98o mÐNOM #8 - 12 Pg. 586 49o mÐMPN 64o mÐMNP 67o mÐNMP

Exercises: ( ( AB bisects ÐCAD, mBD = 95o, and mAD = 74o. 95o 84.5o mÐCAD 84.5o mÐBCA #13 - 16 Pg. 586 47.5o mÐCAB 85o mÐCBD

Homework: Practice 8-3A