#7.3 Proving that a Quadrilateral is a Parallelogram

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 are the properties of a parallelogram?

Back

1. Opposite sides are equal in length. 2. Opposite angles are equal. 3. The diagonals bisect each other.

Tags

CCSS.HSG.CO.C.11

Front

What is the Parallelogram Opposite Sides Converse Theorem?

Back

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

Tags

CCSS.HSG.CO.C.11

Front

What is the Opposite Sides Parallel and Congruent Theorem?

Back

If both pairs of opposite sides of a quadrilateral are parallel and congruent, then the quadrilateral is a parallelogram.

Tags

CCSS.HSG.CO.C.11

Front

How can you prove a quadrilateral is a parallelogram using angles?

Back

Show that both pairs of opposite angles are equal.

Tags

CCSS.HSG.C.A.3

Front

What does it mean for sides to be congruent?

Back

Congruent sides are sides that are equal in length.

Tags

CCSS.8.G.A.2

Front

What is the significance of the diagonals in a parallelogram?

Back

The diagonals of a parallelogram bisect each other, meaning they cut each other in half.

Tags

CCSS.HSG.CO.C.11

Front

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

Back

The quadrilateral is a parallelogram.

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

What is the formula for the area of a parallelogram?

Back

Area = base × height.

Tags

CCSS.6.G.A.1