Jacobs Geo Ch 7: Quadrilaterals PROVE IT!

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. The diagonals bisect each other.

Front

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

Back

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

Front

What is the significance of the diagonals in a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Front

What is a rectangle?

Back

A rectangle is a parallelogram with four right angles.

Front

How can you prove a parallelogram is a rectangle?

Back

If the diagonals of a parallelogram are congruent, then it is a rectangle.

Front

What is a rhombus?

Back

A rhombus is a parallelogram with all four sides congruent.

Front

How can you prove a parallelogram is a rhombus?

Back

If one pair of adjacent sides of a parallelogram are congruent, then it is a rhombus.

Front

What is the relationship between the angles in a parallelogram?

Back

Consecutive angles in a parallelogram are supplementary (add up to 180 degrees).

Front

What does it mean for diagonals to be perpendicular?

Back

Diagonals are perpendicular if they intersect at a right angle (90 degrees).