10.4 Inscribed Angles Inscribed angle: an angle inside the circle with sides that are chords and a vertex on the edge of the circle  Inscribed angle =

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Presentation transcript:

10.4 Inscribed Angles 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 An inscribed right angle, always intercepts a semicircle If two or more inscribed angles intercept the same arc, they are congruent

A B C D E X Inscribed angles: angle BAC, angle CAD, angle DAE, angle BAD, angle BAE, angle CAE Ex: Angle DAE = ½ arc DE

B A C D E F G Inscribed angle BAC intercepts a semicircle- so angle BAC =90 Inscribed angles GDF and GEF both intercept arc GF, so the angles are congruent

A. Find m  X.

Refer to the figure. Find the measure of angles 1, 2, 3 and 4.

ALGEBRA Find m  R.

ALGEBRA Find m  I.

ALGEBRA Find m  B.

ALGEBRA Find m  D.

The insignia shown is a quadrilateral inscribed in a circle. Find m  S and m  T.