If the diagonals of a parallelogram are equal, show that is a rectangle
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If the llg is ABCD, show that triangles ABC and DAB are congruent by SSS.
<B=<A by CPCTC.
Since <A=<C
<B=<D(opposite angles of a llg are congruent)
<A=<B=<C=<D
Since the angles = 360º in any quadrilateral, each angle here is 90º and therefor is a rectangle.
<B=<A by CPCTC.
Since <A=<C
<B=<D(opposite angles of a llg are congruent)
<A=<B=<C=<D
Since the angles = 360º in any quadrilateral, each angle here is 90º and therefor is a rectangle.
karanmanhotra47:
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From the properties of Rhombus, diagonals are equal and bisect each other. Therefore, it is a rectangle.
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