#7.3 Proving that a Quadrilateral is a Parallelogram

Front

What is the Parallelogram Opposite Sides Converse Theorem?

Back

If both pairs of opposite sides of a quadrilateral are congruent, 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

What is the Parallelogram Diagonals Converse Theorem?

Back

If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

Tags

CCSS.HSG.CO.C.11

Front

What is the Parallelogram Opposite Angles Converse Theorem?

Back

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

Tags

CCSS.HSG.CO.C.11

Front

If two pairs of consecutive sides of a quadrilateral are congruent, can it be proven to be a parallelogram?

Back

No, there is not enough information to prove it is a parallelogram.

Front

What is a quadrilateral?

Back

A quadrilateral is a polygon with four sides, four vertices, and four angles.

Tags

CCSS.2.G.A.1

Front

What are the properties of a parallelogram?

Back

Opposite sides are congruent, opposite angles are congruent, diagonals bisect each other, and consecutive angles are supplementary.

Tags

CCSS.HSG.CO.C.11

Front

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

Back

If one pair of opposite angles is congruent, then the quadrilateral is a parallelogram.

Tags

CCSS.HSG.C.A.3

Front

What is the significance of congruent diagonals in a quadrilateral?

Back

If the diagonals of a quadrilateral are congruent, it can help in proving that the quadrilateral is a parallelogram.

Front

What does it mean for sides to be parallel?

Back

Sides are parallel if they are always the same distance apart and will never meet.

Tags

CCSS.HSG.CO.A.1