A rhombus satisfies this. Also a rectangle. And a square (which is both a rhombus and a rectangle). There may be others.
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square,
It is always true that a parallelogram:is a four-sided shape (a quadrilateral)has opposite sides that are parallel to each other and of the same lengthhas opposite internal angles that equal one anotherhas diagonals that bisect one anotherhas a rotational symmetry of 2.
octagon
triangle
There are 275 diagonals in a shape with 25 sides. The formula is n*(n-3)/2