6.3 Prove a Quadrilateral is a Parallelogram

Front

What is a parallelogram?

Back

A parallelogram is a type of quadrilateral where opposite sides are both parallel and congruent.

Tags

CCSS.3.G.A.1

Front

What must be true for a quadrilateral to be classified as a parallelogram?

Back

A quadrilateral is a parallelogram if both pairs of opposite sides are congruent or if both pairs of opposite angles are congruent.

Tags

CCSS.HSG.CO.C.11

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 relationship between the diagonals of a parallelogram?

Back

In a parallelogram, the diagonals bisect each other.

Tags

CCSS.HSG.CO.C.11

Front

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

Back

If both pairs of opposite angles are congruent, then the quadrilateral is a parallelogram.

Tags

CCSS.HSG.C.A.3

Front

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

Back

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

Front

What is the definition of congruent angles?

Back

Congruent angles are angles that have the same measure.

Tags

CCSS.8.G.A.2

Front

What is the definition of parallel lines?

Back

Parallel lines are lines in a plane that never meet and are always the same distance apart.

Tags

CCSS.HSG.CO.A.1

Front

If a quadrilateral has one pair of opposite sides that are parallel and congruent, what can be concluded?

Back

The quadrilateral is a parallelogram.

Front

What is the relationship between opposite sides in a parallelogram?

Back

In a parallelogram, opposite sides are both parallel and congruent.

Tags

CCSS.HSG.CO.C.11