Properties of a Rhombus

Front

What is a rhombus?

Back

A rhombus is a type of polygon that is a quadrilateral (four sides) with all sides of equal length.

Tags

CCSS.3.G.A.1

Front

What are the properties of a rhombus?

Back

1. All sides are equal in length. 2. Opposite angles are equal. 3. Adjacent angles are supplementary (add up to 180 degrees). 4. The diagonals bisect each other at right angles.

Tags

CCSS.HSG.CO.C.11

Front

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

Back

Use the Pythagorean theorem. If the lengths of the sides are known, and the angles are known, you can calculate the diagonals.

Tags

CCSS.HSG.CO.C.11

Front

What is the relationship between the diagonals of a rhombus?

Back

The diagonals of a rhombus bisect each other at right angles.

Tags

CCSS.HSG.CO.C.11

Front

If one diagonal of a rhombus is 24 units and the other is 10 units, what is the length of each side?

Back

Tags

CCSS.HSG.CO.C.11

Front

What is the formula for the area of a rhombus?

Back

Tags

CCSS.6.G.A.1

Front

If the area of a rhombus is 120 square units and one diagonal is 10 units, what is the length of the other diagonal?

Back

Tags

CCSS.6.G.A.1

Front

What is the measure of each angle in a rhombus if one angle is 60 degrees?

Back

The opposite angle is also 60 degrees, and the adjacent angles are 120 degrees each.

Front

How do you determine if a quadrilateral is a rhombus?

Back

A quadrilateral is a rhombus if it has all sides equal in length or if the diagonals bisect each other at right angles.

Tags

CCSS.3.G.A.1

Front

What is the relationship between the angles of a rhombus?

Back

The opposite angles are equal, and the sum of the adjacent angles is 180 degrees.