Rhombus Study Guide

Definition:

A rhombus is a quadrilateral with four sides of equal length and opposite angles that are equal.

Key Properties:

• All sides are of equal length
• Opposite angles are of equal measure
• Diagonals bisect each other at right angles
• It is a type of parallelogram with additional properties

Formulas:

Area of a rhombus: A = (diagonal₁ * diagonal₂) / 2

Perimeter of a rhombus: P = 4 * side length

How to Identify:

To identify a rhombus, look for a quadrilateral with all sides of equal length and opposite angles of equal measure. It can also be identified by its diagonals intersecting at right angles.

Examples:

Example 1: Given side length = 6 units, find the area and perimeter of the rhombus.

Area = (6 * 8) / 2 = 24 square units

Perimeter = 4 * 6 = 24 units

Example 2: In a rhombus, if one angle is 120 degrees, what is the measure of each of the other three angles?

Since opposite angles in a rhombus are equal, each of the other three angles will also be 120 degrees.

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