Rectangles. (Which includes squares.)
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yes, in a sq. or a rec. , all adjacent sides are perpendicular
The most obvious types of quadrilaterals that have perpendicular diagonals are those with two pairs of adjacent sides the same length - squares, rhombuses, and "kite" shapes.These are all special cases of "orthodiagonal" quadrilaterals. All orthodiagonal quadrilaterals will adhere to the rule that the sum of the squares of the lengths of two opposite (nonadjacent) sides will equal the sum of the squares of the lengths of the other two sides; for successive sides of lengths a, b, c, and d, we have:a2 + c2 = b2 + d2This formula will be true for all orthodiagonal quadrilaterals and any quadrilateral for which this is true will be orthodiagonal (i.e. the diagonals will be perpendicular).
Kites or arrowheads.
A square.
A rhombus has all sides congruent with no sides *necessarily* perpendicular. Normally a square is considered a kind of rhombus. So the answer would be "non-square rhombus."