Quadrilateral fill in the blank
Geometry
Level
3
A quadrilateral is at least a __ if and only if the sum of the squares of its sides is equal to the sum of the squares of its diagonals.
Bonus: prove it.
Parallelogram
Rectangle
Rhombus
Kite
Isosceles Trapezoid
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Take a square/rhombus/rectangle and you will get the relationship you have asked for.
And since all squares/rhombuses/rectangles are parallelograms, you have your proof.