Inscribed Angles

Understand inscribed angles.

Lesson 3 of 53 parts Practice Flashcards

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Inscribed Angle Theorem

Objective: Apply inscribed angle theorem.

An inscribed angle measures half its intercepted arc.

Worked examples

Try itAn inscribed angle intercepts an arc measuring 48°. Find the angle.Show answer

24°. Inscribed angle = half intercepted arc.

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Objective: Apply inscribed angle theorem.

An inscribed angle measures half its intercepted arc.

Worked examples

Try itAn inscribed angle intercepts an arc measuring 48°. Find the angle.Show answer

24°. Inscribed angle = half intercepted arc.

Objective: Apply angles intercepting same arc.

Inscribed angles intercepting the same arc are congruent.

Worked examples

Try itTwo inscribed angles intercept the same arc; one measures 23°. Find the other.Show answer

23°. Angles intercepting the same arc are congruent.

Objective: Apply cyclic quadrilaterals.

Opposite angles of a quadrilateral inscribed in a circle are supplementary.

Worked examples

Try itOne angle of a cyclic quadrilateral measures 46°. Find its opposite angle.Show answer

134°. Opposite angles of cyclic quadrilaterals are supplementary.

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