Question

Prove the diagonals of rectangle are congruent

Answer 1

It should be like that:
PROOVE THE DIAGONALS OF RECTANGLE ARE EQUAL.


HERE YOU ANSWER:-
Let a rectangle ABCD where point A starts from left bottom and point B exist right side of point A from bottom. (Means anti-clockwise from left bottom)


IN TRIANGLE ABC and ABD


CA=CB (oppo. sides of rectangle are equal)
AB=AB (common side)
angleDAB= angleABC (90 degree)

So,
By S.A.S
triangleABC=triangleABD

Then,
diagonalAC=diagonalBD (by CPCT) [CPCT=Coresponding Parts of Congruent Triangle are equal]

Hence,prooved



HOPE IT HELPS YOU!

Answer 2

let ABCD is a rectangle

AB || CD
AC || BC

IN TRIANGLE DAC AND TRIANGLE BCA

TO PROOF : AB || CD ( GIVEN )

DA || CB ( GIVEN )

AC = AC ( COMMON )

/_ DAC = /_ ABC ( 90° GIVEN )

PROVE THE THE TRIANGLE IS DIAGONAL BY RHS...