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A student says that a rhombus is a regular polygon because all of its sides are congruent?

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A student says that a rhombus is a regular polygon because all of its sides are congruent. How do you respond?

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  1. You get Detetion.


  2. Sorry but all angles have to be congruent as well to be a regular ploygon, and a rhombus doesn't have to have all congruent angles.

  3. The student is not only wrong, but he or she makes no sense:   "sides are congruent" isn't a thing.  Angles can be congruent, shapes can be congruent, but sides can't be congruent.

    Definition of a regular polygon is that all interior angles are equal, and all sides have the same length.  

    A rhombus is a 4 sided polygon with all sides of equal length.

    So there is one case in which a rhombus is a regular polygon:  a square.

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