Properties of rectangles, rhombuses and squares

Front

What is a rectangle?

Back

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

Front

What are the properties of a rectangle?

Back

1. Opposite sides are equal in length. 2. All angles are right angles (90 degrees). 3. Diagonals bisect each other and are equal in length.

Front

What is a rhombus?

Back

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

Front

What are the properties of a rhombus?

Back

1. All sides are equal in length. 2. Opposite angles are equal. 3. Diagonals bisect each other at right angles.

Front

What is 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

What are the properties of a square?

Back

1. All sides are equal in length. 2. All angles are right angles (90 degrees). 3. Diagonals are equal in length and bisect each other at right angles.

Front

If m∠BCE = 4x - 23 and m∠DCE = 5 + 5x, find m∠BCE when ABCD is a rectangle.

Back

m∠BCE = 25 degrees.

Front

If the figure is a rectangle, what is the value of x if it is given as 2x + 4 = 28?

Back

x = 12.

Front

In a rhombus, if angle 1 = 10x, angle 2 = x + y, and angle 3 = 15z, find x, y, and z.

Back

x = 9, y = 81, z = 6.

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.