Yes
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Yes they intersect at 90 degrees
Not always but they are perpendicular in a square, a rhombus and a kite in that the diagonals intersect each other at 90 degrees
A square, a rhombus and a kite have diagonals that intersect each other at right angles.
A rhombus has 4 equal sides and the diagonals are always perpendicular
Rhombus, kite.