Inscribed quadrilaterals

Front

What is an inscribed quadrilateral?

Back

A quadrilateral whose vertices all lie on a single circle.

Front

What is the measure of an inscribed angle that intercepts a semicircle?

Back

Right angle (90 degrees).

Front

If a quadrilateral is inscribed in a circle, what can be said about its opposite angles?

Back

The opposite angles are supplementary (they add up to 180 degrees).

Front

Define an inscribed angle.

Back

An angle formed by two chords in a circle which have a common endpoint (the vertex) on the circle.

Front

What is the relationship between an inscribed angle and the arc it intercepts?

Back

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

Front

If m < R = 108 degrees, what is the measure of the angle opposite to it in an inscribed quadrilateral?

Back

72 degrees (since opposite angles are supplementary).

Front

What is the vertex of an inscribed angle?

Back

The vertex is the point where the two chords meet, and it lies on the circle.

Front

If m < W = (5x + 1) and m < Y = (13x - 37), how do you find m < Y?

Back

Set up the equation using the supplementary angle property and solve for x.

Front

What is the sum of the measures of the angles in any quadrilateral?

Back

360 degrees.

Front

What type of angle is formed when an inscribed angle intercepts a semicircle?

Back

A right angle.