Inscribed Angles and Quadrilaterals in Circles

Front

Inscribed angle: an angle with its vertex _____________ the circle

Back

on

Front

Given the following inscribed quadrilateral, what is the value of y? (Options: 10, 20, 30, 40)

Back

40

Front

Find a and b. (Options: a=74 degrees, b=93 degrees; a=93 degrees, b=74 degrees; a=87 degrees, b=106 degrees; a=106 degrees, b=87 degrees)

Back

a=93 degrees, b=74 degrees

Front

Use the relationship between an inscribed angle and its arc to solve for x. (Options: x = 2, x = 4, x = 6, x = 8)

Back

x = 2

Front

What is the measure of arc DC? (Options: 140, 98, 122, 61)

Back

122

Front

Definition of an inscribed angle.

Back

An inscribed angle is formed by two chords in a circle which have a common endpoint.

Front

What is the relationship between an inscribed angle and its intercepted arc?

Back

The measure of an inscribed angle is half the measure of its intercepted arc.

Front

What is a cyclic quadrilateral?

Back

A cyclic quadrilateral is a quadrilateral whose vertices all lie on a single circle.

Front

What is the sum of the opposite angles in a cyclic quadrilateral?

Back

The sum of the opposite angles in a cyclic quadrilateral is 180 degrees.

Front

If an inscribed angle intercepts an arc of 80 degrees, what is the measure of the angle?

Back

40 degrees.