Question

prove that rectangle has equal diagonals ​

Answer 1

in a rectangle opposite sides are equal.

and each angle measure 90°

in any rectangle take 2 triangles having a common base .

and by SAS congruence rule

they r congruent

by CPCT diagonals are equal.

HOPE IT HELPS YOU.

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Answer 2

${\huge {\underline {\bf {\red {Answer}}}}}$

Given❇:

Rectangle ABCD

To Prove❇:

Segment AC ≅ segment BD

Solution❇:

Since ABCD is a rectangle, it is also a parallelogram.

Since ABCD is a parallelogram, segment AB ≅ segment DC because opposite sides of a parallelogram are congruent.

BC ≅ BC by the Reflexive Property of Congruence.

Furthermore, ∠ABC and ∠DCB are right angles by the definition of rectangle.

∠ABC ≅ ∠DCB since all right angles are congruent.

segment AB ≅ segment DC

∠ABC ≅ ∠DCB

BC ≅ BC

Therefore, by SAS, triangle ABC ≅ triangle DCB.

Since triangle ABC ≅ triangle DCB, segment AC ≅ segment BD

:))