Jacobs Geo Ch 7: Quadrilaterals PROVE IT!

Front

A quadrilateral is a parallelogram if a pair of opposite sides are ___________ and congruent.

Back

parallel

Front

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

Back

bisect

Front

Can you prove this is a parallelogram?

Back

yes, opposite sides are congruent

Front

Which property is shown in the parallelogram that makes it a rhombus?

Back

Adjacent sides are congruent

Front

Which information is not sufficient to prove that a parallelogram is a square?

Back

The diagonals are perpendicular and one pair of adjacent sides are congruent.

Front

What is a parallelogram?

Back

A quadrilateral with opposite sides that are parallel and equal in length.

Front

What are the properties of a rhombus?

Back

All sides are congruent, opposite angles are equal, and diagonals bisect each other at right angles.

Front

How can you prove that a quadrilateral is a rectangle?

Back

If the diagonals are equal and bisect each other.

Front

What is the relationship between the angles of a parallelogram?

Back

Opposite angles are equal, and consecutive angles are supplementary.

Front

What defines a square?

Back

A square is a quadrilateral that is both a rectangle and a rhombus, meaning all sides are congruent and all angles are right angles.