Inscribed Quadrilaterals-circles

Front

What is an inscribed quadrilateral?

Back

A quadrilateral is inscribed in a circle if all its vertices lie on the circumference of the circle.

Front

What is the relationship between opposite angles in an inscribed quadrilateral?

Back

The opposite angles of an inscribed quadrilateral are supplementary, meaning they add up to 180 degrees.

Front

If angle A and angle C are opposite angles in an inscribed quadrilateral, what can be said about their measures?

Back

m∠A + m∠C = 180°.

Front

What is the measure of angle A if angle C measures 101°?

Back

m∠A = 79° (since 180° - 101° = 79°).

Front

In an inscribed quadrilateral ABCD, if angle A measures 34°, what is the measure of angle C?

Back

m∠C = 146° (since 180° - 34° = 146°).

Front

What is the measure of angle B if angle D measures 112° in an inscribed quadrilateral?

Back

m∠B = 68° (since 180° - 112° = 68°).

Front

If angle A measures 79° in an inscribed quadrilateral, what is the measure of angle B if angle D measures 101°?

Back

m∠B = 79° (since 180° - 101° = 79°).

Front

What is the sum of the measures of all angles in a quadrilateral?

Back

The sum of the measures of all angles in a quadrilateral is 360°.

Front

If angle A measures 90° in an inscribed quadrilateral, what is the measure of angle C?

Back

m∠C = 90° (since opposite angles are supplementary).

Front

What is the relationship between angles A and B in an inscribed quadrilateral?

Back

Angles A and B are not necessarily supplementary unless they are opposite angles.