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Theorem 1: Diagonal of a Parallelogram Divides It into Two Congruent Triangles

A photo frame...

Question

A photo frame is in the shape of a quadrilateral. With one diagonal longer than the other. Is it a rectangle ? why or why not ?

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Solution

The rectangle has two diagonals equal in length. But according to question, the diagonals are uneven. Hence we can say that the photoframe is not a rectangle. It is either parallelogram or rhombus.

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Theorem 1: Diagonal of a Parallelogram Divides It into Two Congruent Triangles

Standard IX Mathematics

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