Which quadrilaterals are rhombi but not squares?

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Detailed Solution

To answer this, one must first understand the relationship: A square is a special, more specific type of rhombus.

A rhombus only requires one condition: four equal sides.
A square requires two conditions: four equal sides AND four equal 90-degree angles (right angles).

Therefore, a quadrilateral that is a rhombus but not a square is any rhombus that does not have 90-degree angles.

This means it will have four equal sides, but its angles will be "slanted." It will be a parallelogram with two equal acute angles (less than 90°) and two equal obtuse angles (greater than 90°). The "diamond" shape on a deck of playing cards is a perfect example of a rhombus that is not a square.

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