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) (Show Source): You can put this solution on YOUR website! 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) (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) (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)