Check for Understanding: Inscribed Triangles, Quadrilaterals

Front

The measure of an inscribed angle that intercepts a semicircle is a(n) ___________ angle.

Back

right

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

Solve for x. (Options: 14, 10, 11, 2)

Back

11

Front

Solve for x. (Options: 5, 20, 40, 85)

Back

20

Front

An inscribed angle is formed by two chords in a circle that share an endpoint. What is the relationship between the inscribed angle and the arc it intercepts?

Back

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

Front

What is the definition of a cyclic quadrilateral?

Back

A cyclic quadrilateral is a four-sided figure where all vertices lie on the circumference of a circle.

Front

If two inscribed angles intercept the same arc, what can be said about their measures?

Back

The inscribed angles are equal.

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 angle is inscribed in a circle and intercepts a diameter, what type of angle is it?

Back

It is a right angle.