Parallelograms

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 opposite sides in a parallelogram?

Back

The opposite sides of a parallelogram are congruent (equal in length).

Front

What are the properties of opposite angles in a parallelogram?

Back

The opposite angles of a parallelogram are congruent (equal in measure).

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.

Front

If one angle of a parallelogram is 68°, what is the measure of the opposite angle?

Back

The opposite angle is also 68°.

Front

If one angle of a parallelogram is 112°, what are the measures of the adjacent angles?

Back

The adjacent angles are 68° each, since they are supplementary (sum to 180°).

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 one side is known, the opposite side is the same length.

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Front

If the lengths of two adjacent sides of a parallelogram are 3 cm and 4 cm, what is the perimeter?

Back

The perimeter is 2(3 cm + 4 cm) = 14 cm.

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.