Geometry: 6.2/6.3 Tests for parallelograms

Front

What is a parallelogram?

Back

A parallelogram is a quadrilateral with both pairs of opposite sides parallel.

Front

What are the properties of a parallelogram?

Back

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

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

Back

It means that each diagonal divides the other into two equal parts.

Front

Are the diagonals of a parallelogram always congruent?

Back

No, the diagonals of a parallelogram are not always congruent.

Front

What is the relationship between the angles of a parallelogram?

Back

Opposite angles are congruent, and consecutive angles are supplementary.

Front

If all four angles of a quadrilateral are right angles, what type of quadrilateral is it?

Back

It is a rectangle, which is a specific type of parallelogram.

Front

What can be concluded if the diagonals of a quadrilateral bisect each other?

Back

The quadrilateral is a parallelogram.

Front

What is the significance of congruent opposite sides in a parallelogram?

Back

Congruent opposite sides confirm that the figure is a parallelogram.

Front

How can you determine if a quadrilateral is a parallelogram using its sides?

Back

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