Question

Is a square a special type of rhombus? I think that clearly square is a special type of rhombus as it is just a rhombus with angle measuring 90 degrees. But my teacher said that this is wrong because diagonals of rhombus are unequal and diagonals of a square equal. Thus, it is wrong, square can't be called a rhombus. Please clarify.

Solution

A rhombus is a quadrilateral with all sides equal in length. A square is a quadrilateral with all sides equal in length and all interior angles right angles. Thus arhombus is not a square unless the angles are all right angles. A square however is a rhombus since all four of its sides are of the same length.

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