Isosceles trapezoids, squares, and rectangles.
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The diagonals are perpendicular, but not necessarily congruent.
draw a polygon that is congruent?
There are 90 diagonals in a 15-sided polygon.
Most quadrilaterals will not have congruent diagonals: rectangles (incl squares) and isosceles trapezium are the exception.
Rhombus.