Proving Parallelograms

Front

What is a parallelogram?

Back

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

Front

What is the property of opposite angles in a parallelogram?

Back

In a parallelogram, both pairs of opposite angles are congruent.

Front

How can you determine if a quadrilateral is a parallelogram using side lengths?

Back

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

Front

What does it mean for diagonals to bisect each other in a parallelogram?

Back

In a parallelogram, the diagonals intersect at their midpoints, meaning they divide each other into two equal segments.

Front

What is the significance of one pair of opposite sides being both parallel and congruent?

Back

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

Front

Can a quadrilateral be classified as a parallelogram if only one pair of opposite angles is congruent?

Back

No, a quadrilateral cannot be classified as a parallelogram based solely on one pair of opposite angles being congruent.

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Front

What is the converse of the property that states if both pairs of opposite sides are congruent, then the quadrilateral is a parallelogram?

Back

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

Front

How can you use the properties of angles to prove a quadrilateral is a parallelogram?

Back

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

Front

What is the definition of congruent angles?

Back

Congruent angles are angles that have the same measure.