Cyclic Quadrilateral Flashcard

Front

What is a cyclic quadrilateral?

Back

A quadrilateral with all vertices on a circle.

Front

Is OADC a cyclic quadrilateral?

Back

No.

Front

If quadrilateral ABCD is inscribed in a circle, what can be said about angles A and C?

Back

A and C are supplementary.

Tags

CCSS.HSG.C.A.3

Front

If quadrilateral ABCD is inscribed in a circle, what can be said about angles A and B?

Back

They are not necessarily supplementary.

Tags

CCSS.HSG.C.A.3

Front

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

Back

The sum of the opposite angles is 180 degrees.

Tags

CCSS.HSG.C.A.2

Front

If angle A = 40 degrees in a cyclic quadrilateral, what is the measure of angle C?

Back

Angle C = 140 degrees.

Tags

CCSS.HSG.C.A.2

Front

What is the relationship between angles B and D in a cyclic quadrilateral?

Back

Angles B and D are supplementary.

Front

If angle A = 38 degrees, what is the measure of angle C in a cyclic quadrilateral?

Back

Angle C = 142 degrees.

Tags

CCSS.HSG.C.A.2

Front

What is the value of x if angle A = 74 degrees and angle C = x in a cyclic quadrilateral?

Back

x = 106 degrees.

Front

What is the value of x if angle A = 40 degrees and angle B = x in a cyclic quadrilateral?

Back

x = 140 degrees.

Tags

CCSS.HSG.C.A.2