Lesson 10-4: Inscribed Angles Geometry CP Mrs. Mongold.

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Presentation transcript:

Lesson 10-4: Inscribed Angles Geometry CP Mrs. Mongold

-Inscribed angle: an angle inside the circle with sides that are chords and a vertex on the edge of the circle Inscribed angle = ½ intercepted arc Inscribed angle = ½ intercepted arc -An inscribed right angle, always intercepts a semicircle -If two or more inscribed angles intercept the same arc, they are congruent

A C E X Ex: Angle CAE = ½ arc CE

B A C Inscribed angle BAC intercepts a semicircle- so angle BAC =90

D E F G Inscribed angles GDF and GEF both intercept arc GF, so the angles are congruent

Find the measure of angle X

Find the measures of angles 1, 2, 3, and 4

Find the measure of angle R

Find the measure of angle I

Find the measure of angle B

Find the measure of angle D

Find angle S and T