Question #e13c5

1 Answer
George C.
Dec 12, 2016

A rhombus. It is also a parallelogram and a kite.

Explanation:

All 4 sides are the same length, and the angles are #120^@#, #60^@#, #120^@#, #60^@#.

Since all four sides are the same length, it is a rhombus. This is the most specific name.

Note that opposite sides are parallel and of equal length, so it is also a parallelogram.

Also taken as two pairs, adjacent sides are of equal length, the diagonals intersect at right angles and the quadrilateral is convex. So it is a kite.

If the angles were all equal (which would require them to be #90^@#) it would also be a square.

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