Question

ABCD is a rectangle and AC is one of its diagonals.Are the two triangle formed by the diagonal congruent?if so,give te proof and write the congruence of triangle in correct correspondance.

Answer 1

Yes they both are congruent
A!-----------------------!B
! !
! !
! !
D!-----------------------!C

IN triangles ABC and ADC
AB=AC (opp. sides of rectangle)
/_B=/_D (/_ of a rectangle)
BC=AS (opp. sides of rectangle)
So triangles are congruent by SAS criteria

Answer 2

so the two triangles formed are ABD and BDC,
            in these two triangles,
                 AD=CB(sides of a rectangle)
                 angleC=angleA=90degrees
                 AB=CD(sides of a rectangle)
                        so triangle ABD is congruent to triangle BDC

                if helped mark my answer as the brainliest