parallelograms

Front

What is a parallelogram?

Back

A parallelogram is a four-sided polygon (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. 4. Consecutive angles are supplementary.

Front

How do you find the area of a parallelogram?

Back

Area = base × height.

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 other two angles are 110° each.

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Front

Can a rectangle be considered a parallelogram? Why?

Back

Yes, a rectangle is a type of parallelogram because it has opposite sides that are equal and parallel, and all angles are right angles.

Front

Can a rhombus be considered a parallelogram? Why?

Back

Yes, a rhombus is a type of parallelogram because it has opposite sides that are equal and parallel, and all sides are of equal length.

Front

What is the condition for a quadrilateral to be a parallelogram?

Back

A quadrilateral is a parallelogram if either: 1. Both pairs of opposite sides are parallel, or 2. One pair of opposite sides is both equal and parallel.

Front

If the lengths of two adjacent sides of a parallelogram are 5 cm and 12 cm, what is the maximum possible length of the diagonal?

Back

The maximum possible length of the diagonal is less than the sum of the lengths of the two sides, which is 17 cm.