Compare Rhombus vs. Square vs. Kite Properties

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Detailed Solution

A rhombus, a square, and a kite are all quadrilaterals (four-sided shapes) with two pairs of equal-length sides. However, the arrangement of those sides and their resulting properties are what make them different.

Is a Square a Rhombus? Is a Rhombus a Kite?

A square is a special type of rhombus. It is a rhombus with four equal angles (all 90°).
A rhombus is a special type of kite. It is a kite with all four sides equal (a kite only requires two pairs of adjacent sides to be equal).
Therefore, all squares are rhombuses, and all rhombuses are kites. But not all kites are rhombuses, and not all rhombuses are squares.

Property Comparison

Property	Rhombus	Square	Kite
All 4 sides equal	Yes	Yes	No (Only 2 pairs of adjacent sides)
Opposite sides parallel	Yes (It's a parallelogram)	Yes (It's a parallelogram)	No
Opposite angles equal	Yes	Yes	Only 1 pair (between unequal sides)
All 4 angles equal (90°)	(Only if it's a square)	Yes	No
Diagonals bisect each other	Yes	Yes	Only 1 diagonal is bisected
Diagonals are perpendicular	Yes	Yes	Yes
Diagonals are equal length	(Only if it's a square)	Yes	No
Diagonals bisect the angles	Yes (both do)	Yes (both do)	Only 1 diagonal does