Properties of Parallelogram Test

Front

What are the properties of consecutive angles in a parallelogram?

Back

Consecutive angles of a parallelogram are supplementary, meaning they add up to 180°.

Tags

CCSS.HSG.C.A.3

Front

What is a defining property of a parallelogram regarding its diagonals?

Back

In a parallelogram, the diagonals bisect each other.

Tags

CCSS.HSG.CO.C.11

Front

How can you determine if a quadrilateral is a parallelogram?

Back

A quadrilateral is a parallelogram if either its opposite sides are congruent or its opposite angles are congruent.

Tags

CCSS.HSG.CO.C.11

Front

What is the measure of angle U if it is supplementary to angle V, which measures 85°?

Back

m∠U = 95° (since 180° - 85° = 95°).

Tags

CCSS.7.G.B.5

Front

Are the diagonals of a parallelogram always congruent?

Back

No, the diagonals of a parallelogram are sometimes congruent, specifically in rectangles and rhombuses.

Tags

CCSS.HSG.CO.C.11

Front

What is the relationship between opposite angles in a parallelogram?

Back

Opposite angles in a parallelogram are congruent.

Tags

CCSS.HSG.CO.C.11

Front

If one angle of a parallelogram measures 70°, what are the measures of the other angles?

Back

The opposite angle is also 70°, and the consecutive angles are each 110° (since 180° - 70° = 110°).

Tags

CCSS.HSG.C.A.3

Front

What is the sum of the interior angles of a parallelogram?

Back

The sum of the interior angles of a parallelogram is 360°.

Front

What can be said about the lengths of opposite sides in a parallelogram?

Back

Opposite sides of a parallelogram are congruent.

Tags

CCSS.HSG.CO.C.11

Front

If a quadrilateral has one pair of opposite sides that are both parallel and equal in length, what can be concluded?

Back

The quadrilateral is a parallelogram.