Rhombus

Properties of a Rhombus

• Opposite angles of the rhombus have the equal measure.
• The diagonals of the rhombus intersect each other at right angles.
• Rhombus has two diagonals that connects the opposite pair of vertices.
• Rhombus is symmetric along the diagonals.
• Every rhombus is a parallelogram.
• All the parallelograms are not a Rhombus.
• Dual polygon of a rhombus is called as a Rectangle.
• Sum of the adjacent sides of any rhombus is equal to 180 degree. That is the adjacent angles of a rhombus are supplementary.

Area of a Rhombus

Area of a Rhombus is same as that of the area of a parallelogram. Area is the product of the base and the height.
The Area of a Rhombus Formula is,
A=b * h
The base of the rhombus is the length of one of its sides and the height is the perpendicular distance between the opposite sides.
Perimeter of a Rhombus

The perimeter of a rhombus is the total sum of all the side lengths. All the sides are having equal length in a Rhombus. And so, Perimeter of a Rhombus Formula is,
Perimeter = 4s, where s is length of the sides.

Properties of Parallelogram, Rectangle, Rhombus,Square

PARALLELOGRAM

• 2 sets of parallel sides
• 2 sets of congruent sides
• opposite angles congruent
• consecutive angles supplementary
• diagonals bisect each other
• diagonals form 2 congruent triangles

RECTANGLE - properties of the parallelogram PLUS

• 4 right angles
• diagonals congruent

RHOMBUS properties of the parallelogram PLUS

• 4 congruent sides
• diagonals bisect angles
• diagonals perpendicular

SQUARE -All properties of IIgm ,rectangle and square

• 2 sets of parallel sides
• 2 sets of congruent sides
• opposite angles congruent
• consecutive angles supplementary
• diagonals bisect each other
• diagonals form 2 congruent triangles
• 4 right angles
• diagonals congruent
• 4 congruent sides
• diagonals bisect angles
• diagonals perpendicular