Properties of Parallelograms

Front

What are the properties of opposite sides in a parallelogram?

Back

The opposite sides of a parallelogram are congruent.

Front

What is the sum of the interior angles of a parallelogram?

Back

The sum of the interior angles of a parallelogram is 360°.

Front

If one angle of a parallelogram is 70°, what are the measures of the other angles?

Back

The opposite angle is also 70°, and the adjacent angles are 110° each.

Front

What can be said about the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Front

How can you determine if a quadrilateral is a parallelogram?

Back

A quadrilateral is a parallelogram if one pair of opposite sides is both parallel and congruent.

Front

What is the relationship between consecutive angles in a parallelogram?

Back

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

Front

If two sides of a quadrilateral are equal and parallel, what can be inferred?

Back

If two sides are equal and parallel, the quadrilateral may be a parallelogram.

Front

What is the formula for the area of a parallelogram?

Back

The area of a parallelogram is given by the formula: Area = base × height.

Front

If the lengths of the sides of a parallelogram are 8 cm and 6 cm, what is the perimeter?

Back

The perimeter of the parallelogram is 2(8 cm + 6 cm) = 28 cm.

Front

What is the relationship between the opposite angles in a parallelogram?

Back

The opposite angles in a parallelogram are congruent.