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

List the properties of a parallelogram.

Back

1. Opposite sides are parallel and congruent. 2. Opposite angles are congruent. 3. Diagonals bisect each other.

Tags

CCSS.HSG.CO.C.11

Front

What can be concluded if one pair of opposite sides of a quadrilateral is both parallel and congruent?

Back

The quadrilateral is a parallelogram.

Tags

CCSS.HSG.CO.C.11

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Tags

CCSS.HSG.CO.C.11

Front

Which property is NOT true for a parallelogram?

Back

Diagonals are congruent.

Tags

CCSS.HSG.CO.C.11

Front

If two angles of a quadrilateral are congruent, what can be inferred about the opposite angles?

Back

The opposite angles are also congruent.

Front

In a parallelogram, if one angle measures 70 degrees, what are the measures of the other angles?

Back

The opposite angle is also 70 degrees, and the adjacent angles are 110 degrees each.

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, the quadrilateral is a parallelogram.

Tags

CCSS.HSG.CO.C.11

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 concluded?

Back

The quadrilateral is a parallelogram.

Tags

CCSS.HSG.CO.C.11