Question

prove that diagonals of rectangle are equal and bisect each other

Answer 1

as the two diagonals are equal so the a gle between them will also be equal

Answer 2

Question:

To prove that diagonals of a rectangle are equal and bisect each other.

Answer:

Let us take a rectangle ABCD and there diagonals AC and BC intersect at the point O.

From ∆ABC and ∆BAD ,we have

AB = BA

∠ABC = ∠BAD

BC = AD

∆ABC ≅ ∆BAD

AC = BD

Thus,the diagonals of the rectangle are equal.

From ∆OAB & ∆OCD ,we have

∠OAB = ∠OCD

∠OBA = ∠ODC

AB = CD

∆OAB ≅ ∆OCD

OA = OC & OB = OD

Hence, this shows the diagonals of rectangle bisect each other.

Therefore, it is proved that the diagonals of a rectangle are equal and also bisect each other.