Parallelogram Properties

Front

What is a parallelogram?

Back

A parallelogram is a four-sided figure (quadrilateral) where opposite sides are 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. The diagonals bisect each other.

Front

What does it mean for diagonals to bisect each other?

Back

It means that each diagonal divides the other into two equal parts.

Front

Are the diagonals of a parallelogram always congruent?

Back

No, the diagonals of a parallelogram are not always congruent; they are only congruent in rectangles and squares.

Front

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

Back

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

Front

How do you find the length of a side in a parallelogram if you know the lengths of the other sides?

Back

In a parallelogram, opposite sides are equal, so if you know one side, the opposite side will have the same length.

Front

What is the relationship between the angles of a parallelogram?

Back

The opposite angles are equal, and the adjacent angles are supplementary (add up to 180 degrees).

Front

If the lengths of two sides of a parallelogram are 5 cm and 12 cm, what are the lengths of the opposite sides?

Back

The lengths of the opposite sides will also be 5 cm and 12 cm respectively.

Front

What is the formula for the area of a parallelogram?

Back

Area = base × height.

Front

If the base of a parallelogram is 10 cm and the height is 5 cm, what is the area?

Back

Area = 10 cm × 5 cm = 50 cm².