properties of parallelograms

Front

What is a parallelogram?

Back

A parallelogram is a four-sided figure (quadrilateral) with opposite sides that are parallel and equal in length.

Front

What are the properties of opposite angles in a parallelogram?

Back

In a parallelogram, opposite angles are equal.

Front

What is the relationship between consecutive angles in a parallelogram?

Back

Consecutive angles in a parallelogram are supplementary, meaning they add up to 180 degrees.

Front

If m∠A = 70°, what is m∠B in a parallelogram?

Back

m∠B = 110° (since m∠A and m∠B are consecutive angles and must sum to 180°).

Front

What is the formula for the area of a parallelogram?

Back

Area = base × height.

Front

If the base of a parallelogram is 5 cm and the height is 3 cm, what is the area?

Back

Area = 5 cm × 3 cm = 15 cm².

Front

In parallelogram ABCD, if m∠A = 2x + 10 and m∠C = 3x - 20, find x.

Back

x = 10 (since m∠A = m∠C in a parallelogram).

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Front

If the diagonals of a parallelogram are 10 cm and 24 cm, what is the length of each segment created by the intersection?

Back

Each segment is 5 cm and 12 cm respectively (since they bisect each other).

Front

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

Back

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