Parallelogram Properties Foundations

Front

What is a parallelogram?

Back

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

Front

What are the properties of a parallelogram?

Back

1. Opposite sides are equal in length. 2. Opposite angles are equal. 3. Diagonals bisect each other.

Front

How can you determine if a quadrilateral is a parallelogram?

Back

A quadrilateral is a parallelogram if: 1. Opposite sides are parallel. 2. Opposite sides are equal. 3. Diagonals bisect each other.

Front

If a quadrilateral has one pair of opposite sides that are both parallel and equal, 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 the diagonals divide each other into two equal parts.

Front

In parallelogram STUV, if SV = x + 3 and VU = 2x - 1, how do you find the value of x?

Back

Set SV equal to VU: x + 3 = 2x - 1, then solve for x.

Front

What is the relationship between the angles of a parallelogram?

Back

Opposite angles are equal, and consecutive angles are supplementary (add up to 180 degrees).

Front

If the lengths of the sides of a parallelogram are 5 cm and 7 cm, what can be said about the opposite sides?

Back

The opposite sides are also 5 cm and 7 cm, respectively.

Front

What is the formula for the area of a parallelogram?

Back

Area = base × height.

Front

If the diagonals of a quadrilateral bisect each other, what can be inferred about the quadrilateral?

Back

The quadrilateral is a parallelogram.