SOLUTION: If a parallelogram is equilateral does it mean it is a regular polygon? Would it also be equiangular?

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Question 1011700: If a parallelogram is equilateral does it mean it is a regular polygon? Would it also be equiangular?
Found 3 solutions by Alan3354, Edwin McCravy, addingup:
Answer by Alan3354(69443) About Me  (Show Source):
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If a parallelogram is equilateral does it mean it is a regular polygon?
Not necessarily. The angles can be different.
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Would it also be equiangular?
Not necessarily.
If the sides and angles are equal, it's a square, which is regular.

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
If a parallelogram is equilateral does it mean it is a regular polygon? Would it also be equiangular?
No and no.  The easiest example is a rhombus (diamond shape) which is
not a square:

It is a parallelogram, and it is equilateral, but it is not equiangular, 
so it is not regular.



Edwin

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
If it's equilateral and the four angles are the same (equiangular) then it's a square. If opposite angles are the same but you have two of each, then it's a rhombus (diamond shape)