Rhombus

A rhombus is a special type of parallelogram where all four sides are of equal length. Additionally, the opposite angles are equal, and the diagonals bisect each other at right angles.

Properties of a Rhombus:

• Equal Sides: All four sides of a rhombus are of equal length.
• Opposite Angles: Opposite angles in a rhombus are equal.
• Diagonals: The diagonals of a rhombus bisect each other at right angles.
• Area: The area of a rhombus can be calculated using the formula: Area = (diagonal1 * diagonal2) / 2
• Perimeter: The perimeter of a rhombus is the sum of all four sides: Perimeter = 4 * side length

Formulas for Rhombus:

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

Perimeter of a rhombus: Perimeter = 4 * side length

Practice Questions:

1. Calculate the area of a rhombus with diagonals of length 8 cm and 10 cm.
2. Find the perimeter of a rhombus with each side measuring 6 cm.
3. If an angle in a rhombus measures 60 degrees, what is the measure of its opposite angle?

Hope this study guide helps you understand the concept of rhombus better!