What is a rhombus with right angles?

1 Answer
Zor Shekhtman
Dec 28, 2015

A rhombus with right angles is a square.

Explanation:

It follows from a definition of a square as a regular 4-sided polygon.

Congruence of all sides is the property of a rhombus. This is the first necessary property of a square.

The second property is the congruence of all interior angles. Since one of the rhombus' interior angle is #90^o#, all its angles are #90^o# - a trivial consequence of properties of parallelograms.

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