Properties of Parallelograms and Rectangles

Front

What are the defining properties of a rectangle?

Back

A rectangle is a quadrilateral with opposite sides that are equal in length and four right angles (90 degrees). The diagonals of a rectangle are equal in length and bisect each other.

Front

What are the defining properties of a parallelogram?

Back

A parallelogram is a quadrilateral with opposite sides that are equal in length and parallel. The opposite angles are equal, and the diagonals bisect each other.

Front

How can you determine if a quadrilateral is a rectangle?

Back

To determine if a quadrilateral is a rectangle, check if it has four right angles or if the diagonals are equal in length.

Front

What is the relationship between the diagonals of a rectangle?

Back

In a rectangle, the diagonals are equal in length and bisect each other.

Front

What is the relationship between the diagonals of a parallelogram?

Back

In a parallelogram, the diagonals bisect each other, but they are not necessarily equal in length.

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is calculated using the formula: Area = length × width.

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 angles in a rectangle?

Back

All angles in a rectangle are right angles (90 degrees), which is a defining characteristic that distinguishes it from other quadrilaterals.

Front

What is a property that is not true for all rectangles?

Back

Not all rectangles have diagonals that are perpendicular to each other; this property is specific to squares.

Front

How do you find the length of a diagonal in a rectangle?

Back

The length of a diagonal in a rectangle can be found using the Pythagorean theorem: Diagonal = √(length² + width²).