Yes. This comes from looking at the similar triangles.
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A parallelogram a rectangle a square and a rhombus
A quadrilateral whose diagonals bisect each other at right angles is a rhombus. each other at right angles at M. So AB = AD and by the first test above ABCD is a rhombus. 'If the diagonals of a parallelogram are perpendicular, then it is a rhombus
They both Have… four sides four angles all angles equal 90 degrees all angles together equal 360 degrees symmetry diagonals bisect each other at 90 degrees there are much more
No.
* both pairs of opposite sides are parallel * both pairs of opposite sides are congruent * all angles are 90 degrees * both pairs of opposite angles are congruent * the diagonals bisect each other.