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

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

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

What happens to the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other, meaning they cut each other in half.

Front

Which property is NOT true for a parallelogram?

Back

Diagonals are congruent is NOT a property of a parallelogram; only in specific types of parallelograms (like rectangles) are diagonals 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 degrees.

Front

How do you find the measure of an angle in a parallelogram if one angle is known?

Back

If one angle is known, the opposite angle is equal to it, and the consecutive angles are supplementary to it.

Front

What is the formula for the area of a parallelogram?

Back

The area of a parallelogram is calculated using the formula: Area = base × height.

Front

What is the significance of the diagonals in a parallelogram?

Back

The diagonals of a parallelogram provide information about the shape and can be used to find lengths and angles.

Front

What is a special type of parallelogram where all angles are right angles?

Back

A rectangle is a special type of parallelogram where all angles are right angles (90 degrees).