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Yes, if you count four congruencies as six pairs.

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12y ago

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Can the diagonals of a square from 6 pairs of congruent triangles?

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What is a quadrilateral with two pairs of parallel lines?

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Why can a square be called a rectangle?

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Why square is a rectangle?

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How many pairs of congruent triangles are formed by the diagonals of a rectangle?

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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.