If the diagonal of a parallelogram are equation the show that it is rectangle.
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Now we know that the interior angles of Quadrilateral add up to 360°. Hence, ∠ADC+∠ABC+∠BCD+∠BAD=360∘. ... Now the rectangle is a Quadrilateral with all its angles equal to 90° and opposite sides equal and parallel Hence, we can say that a parallelogram with its diagonal equal is a Rectangle. Hence, Proved.
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Answered by
0
Answer:
Now we know that the interior angles of Quadrilateral add up to 360°. Hence, ∠ADC+∠ABC+∠BCD+∠BAD=360∘. ... Now the rectangle is a Quadrilateral with all its angles equal to 90° and opposite sides equal and parallel Hence, we can say that a parallelogram with its diagonal equal is a Rectangle
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