Properties of Rectangles, Rhombi, and Squares

Front

What is a rectangle?

Back

A rectangle is a quadrilateral with opposite sides that are equal in length and four right angles.

Front

What are the properties of a rhombus?

Back

A rhombus is a quadrilateral with all four sides of equal length, opposite angles that are equal, and diagonals that bisect each other at right angles.

Front

What defines a square?

Back

A square is a quadrilateral that is both a rectangle and a rhombus, meaning it has four equal sides and four right angles.

Front

How do you find the measure of an angle in a rectangle?

Back

In a rectangle, all angles are right angles, so each angle measures 90 degrees.

Front

What is the relationship between the diagonals of a rectangle?

Back

The diagonals of a rectangle are equal in length and bisect each other.

Front

If m∠CDA = 9x + 3 and m∠EDA = 6x + 15, how do you find x?

Back

Set the two expressions equal: 9x + 3 = 6x + 15. Solving gives x = 4.

Front

What is the sum of the interior angles of a quadrilateral?

Back

The sum of the interior angles of a quadrilateral is 360 degrees.

Front

How can you determine if a quadrilateral is a rhombus?

Back

A quadrilateral is a rhombus if all four sides are of equal length.

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is calculated as Area = length × width.

Front

What is the formula for the area of a square?

Back

The area of a square is calculated as Area = side².