Question

If the diagonal of a parallelogram are equal then show that is a rectangle​

Answer 1

Answer:

□ ABCD is a parallelogram

consider Δ ACD and Δ ABD

AC = BD .... (given)

AB = DC .... (opposite sides of parallelogram)

AD = AD .... (common side)

∴Δ ACD ≅Δ ABD (SSS test of congruence)

∠ BAD = ∠ CDA .... (cpct)

∠BAD+∠CDA=180  ∘ [Adjacent angles of parallelogram are supplementary]

so ∠ BAD and ∠ CDA are right angles as they are congruent and supplementary.

Therefor, □ ABCD is a rectangle since a  

parallelogram with one right interior angle is a rectangle.

Answer 2

Answer:

By Making It's all angles same.

Explanation:

Yes if four of the diagonals are same then mark their all the angles so that their sum is = 360 . Then it will become a rectangle.

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