10.4 Inscribed Angles Inscribed angle: an angle inside the circle with sides that are chords and a...

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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

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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

Transcript of 10.4 Inscribed Angles Inscribed angle: an angle inside the circle with sides that are chords and a...

Page 1: 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 =

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

Page 2: 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 =

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

Page 3: 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 =

B

A

C

D

EF

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

Page 4: 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 =

A. Find mX.

Page 5: 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 =

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

Page 6: 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 =

ALGEBRA Find mR.

Page 7: 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 =

ALGEBRA Find mI.

Page 8: 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 =

ALGEBRA Find mB.

Page 9: 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 =

ALGEBRA Find mD.

Page 10: 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 =

The insignia shown is a quadrilateral inscribed in a circle. Find mS and mT.


11.4 Inscribed Angles. New Vocab: Inscribed Angle and Intercepted Arc.

11.4 Inscribed Angles. New Vocab: Inscribed Angle and Intercepted Arc.

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