Inscribed Angles. Inscribed Angles and Central Angles A Central angle has a vertex that lies in the center of a circle. A n inscribed angle has a vertex.

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Presentation transcript:

Inscribed Angles

Inscribed Angles and Central Angles A Central angle has a vertex that lies in the center of a circle. A n inscribed angle has a vertex that lies on the edge of a circle and its two sides are chords of the circle.

Measurements of Central Angles T he measure of a central angle is equal to the measure of its intercepted arc. x°x° T herefore the measure of angle X must be 80°.

Measurements of Inscribed Angles T he measure of an inscribed angle is equal to the half the measure of its intercepted arc T herefore the measure of angle X must be 40°. x°

Identifying Intercepted Arcs 1 Identify the Intercepted Arc for The intercepted Arc for 1

Identifying Intercepted Arcs 2 The intercepted Arc for 2 2

Identifying Intercepted Arcs 3 The intercepted Arc for 3

Making Conjectures 3 Make a conjecture about 2 They are congruent because they share the same intercepted arc.

Identifying Intercepted Arcs Identify the Intercepted Arc for The intercepted Arc for

Identifying Intercepted Arcs The intercepted Arc for

Determining Measures of Inscribed Angles Determine the measure of The measure of

Determining Measures of Inscribed Angles Determine the measure of The measure of

Determining Measures of Inscribed Angles Determine the measure of The measure of

Determining Measures of Inscribed Angles Determine the measure of The measure of

Determining Measures of Inscribed Angles Determine the measure of The measure of

Determining Measures of Inscribed Angles Determine the measure of The measure of

Determining Measures of Arcs Determine the measure of The measure of

Determining Measures of Arcs Determine the measure of The measure of

Determining Measures of Arcs Determine the measure of The measure of

Determining Measures of Arcs Determine the measure of The measure of

Determining Measures of Arcs Determine the measure of The measure of