Properties of Parallelograms

Front

What is a parallelogram?

Back

A parallelogram is a quadrilateral with opposite sides that are both parallel and equal in length.

Tags

CCSS.3.G.A.1

Front

What theorem states that if both pairs of opposite sides of a quadrilateral are congruent, then it is a parallelogram?

Back

Opposite Sides Congruent Theorem.

Tags

CCSS.HSG.CO.C.11

Front

What theorem states that if both pairs of opposite angles of a quadrilateral are congruent, then it is a parallelogram?

Back

Opposite Angles Congruent Theorem.

Tags

CCSS.HSG.C.A.3

Front

What property states that the diagonals of a parallelogram bisect each other?

Back

Diagonals Bisect Each Other Property.

Tags

CCSS.HSG.CO.C.11

Front

What is the relationship between consecutive angles in a parallelogram?

Back

Consecutive angles in a parallelogram are supplementary, meaning they add up to 180 degrees.

Tags

CCSS.HSG.C.A.3

Front

If one pair of opposite sides of a quadrilateral is both parallel and congruent, what can be concluded?

Back

The quadrilateral is a parallelogram.

Front

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

Back

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

Front

If the diagonals of a quadrilateral bisect each other, what can be inferred about the quadrilateral?

Back

The quadrilateral is a parallelogram.

Tags

CCSS.HSG.CO.C.11

Front

How can you determine if a quadrilateral is a parallelogram using its sides?

Back

If both pairs of opposite sides are equal in length, then the quadrilateral is a parallelogram.

Tags

CCSS.HSG.CO.C.11

Front

What is the formula for finding the area of a parallelogram?

Back

Area = base × height.

Tags

CCSS.6.G.A.1