Are all equilateral quadrilaterals similar?

Question

AL2006 · Answer

No. Similar figures need equal sets of angles. The angles of a square, for example, need not be equal to those of another rhombus.

sairah · Answer

No, not all the equilateral quadrilaterals are similar, it is not necessary. You may make any equilateral quadrilateral taking any measure.

AL2006 · Answer

Not all equilateral quadrilaterals are similar because while they may have equal side lengths, their angles can differ. Similarity requires both equal angles and proportional sides. For example, a square and a rhombus are both equilateral but not similar due to different angles. 
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Are all equilateral quadrilaterals similar?

Answer (3)

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