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Name a quadrilateral which has 2 pairs of adjacent sides equal whose diagonals intersect at 90 degrees?
Square (also rhombus)
How many pairs of perpendicular sides does a rhombus have?
A rhombus has no perpendicular sides but its diagonals are perpendicular to each other and meet at right angles.
Are the diagonals of a kite equal in length?
From Wikipedia: '...a kite, or deltoid, is a quadrilateral with two disjoint pairs of congruent adjacent sides, in contrast to a parallelogram, where the congruent sides are opposite.' In other words, a kite consists of two isosceles triangles joined at the base. Beginning with a particular isosceles triangle, it will always be possible to construct from it one kite that has equal diagonals (given that the kite may be either convex or concave). Hence an infinite number of kites do have equal diagonals, but many do not. A notable example of a kite that does have equal diagonals is a square.
What is the name of a quadrilateral with both pairs of opposite sides parallel and equal?
A square. -Michelle
What shape has 2 pairs of parallel sides equal length of diagonals which do not cross at 90 degrees?
The shape you are describing is a rhombus. A rhombus has two pairs of parallel sides, with opposite sides being equal in length. The diagonals of a rhombus are also equal in length, but they do not intersect at 90 degrees; instead, they intersect at a 90-degree angle.
