Question

if the diagonals of a parallelogram r equal, then show that it is a rectangle​

Answer 1

Here's your answer. Hope this helps

Answer 2

hello

Answer⤵

________

↪ABCD is a parallelogram

➡consider Δ ACD and Δ ABD

↪Given :⤵

➡ AC=BD

______________

↪AB = DC⤵

➡ (opposite sides of parallelogram)

___________________________

↪AD = AD ⤵

➡(common side)

______________________

↪∴Δ ACD ≅Δ ABD ⤵

➡(sss test of congruence)

_________________________________

↪∠ BAD = ∠ CDA ⤵

➡ (cpct)

______________________

∠BAD+∠CDA = 180 °

_________________________

↪As we know that

➡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

since aparallelogram with one right interior angle is a rectangle.

thankz✌⤵

✴ ŔÁŤHÍ✴