Question

In a parallelogram, it's diagonals are perpendicular to each other Can we conclude that the parallelogram is a rhombus? Explain​

Answer 1

Since the diagonals of a parallelogram bisect each other,

BE and DE are congruent and AE is congruent to itself.

We are given that diagonals are perpendicular henceforth all four angles at point E are 90 °and are therefore congruent.

Triangles ABE and ADE are congruent by side-angle-side,

Therefore, AB and AD are congruent.

Since opposite sides of a parallelogram are congruent,

AD and BC are congruent, and AB and CD are congruent.

So all four sides are congruent.

Hence, ABCD is a rhombus.

SIS I AM FROM UTTAR PRADESH

Answer 2

Answer:

my name is vishi

I'm from Rajasthan

I'm in 10 standard

well morning sista

how's you