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Equilateral parallelograms do exist. They are called squares and rhombi (plural of rhombus).

A square is an equilateral rectangle, with four right angles.

A rhombus (diamond shape) is a quadrilateral with all four sides equal. Its opposite sides are parallel and each pair of opposite angles are equal.

(A cruder way of describing it might be a square with twisted angles, or a skew square. Such as: )

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A non-equilateral parallelogram would look like this

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One term used to describe these is a rhomboid.

Q: What is an equilateral parallelogram in geometry?

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An equilateral parallelogram is a rhombus.

A rhombus is an equilateral parallelogram that does not have a right angle.

An equilateral parallelogram is called a rhombus.

a rhombus

Only if all the faces (sides) are the same length. A rhombus is the equilateral version of a parallelogram, just like a square is the equilateral version of a rectangle.

Related questions

An equilateral parallelogram is a rhombus.

A rhombus is an equilateral parallelogram that does not have a right angle.

An equilateral parallelogram is called a rhombus.

A rhombus.

a rhombus

Rhombus

Only if all the faces (sides) are the same length. A rhombus is the equilateral version of a parallelogram, just like a square is the equilateral version of a rectangle.

A parallelogram with 4 equal sides is a rhombus

yes.

a rhombus

A Rhombus.

Rhombus.