Video: The Relation between Squares and Rhombuses

Can a rhombus be a square?


Video Transcript

Can a rhombus be a square?

Rhombuses or rhombi and squares are both types of quadrilateral. And in fact, they’re both types of parallelogram. In order to answer this question, we need to recall their specific properties.

A rhombus, first of all, is a parallelogram with four congruent sides. They’re all equal in length. A square is a parallelogram with four congruent sides and four right angles. All of its sides are the same length, and all of its interior angles are 90 degrees.

So the condition for a parallelogram to be a square is stricter than the condition for it to be a rhombus. Both have four congruent sides. But in order to be a square, the parallelogram must also have four right angles.

Therefore, a rhombus can be a square if all of its angles are right angles, but it isn’t always. In fact, all squares are rhombuses, but not all rhombuses are squares.

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