Question

Can you please solve

Answer 1

⭐⭐Here is your answer⭐⭐


Given:- ABCD is a parallelogram in which AB produced to E and AD produced to F.

Then to Prove that:- ∆BEC Congruent ∆ DCF.

Proof:- In ∆ BEC and ∆ DCF,

AB = BE ( given)
AB = DC
(both AB will be Cancelled)
BE= DC

<A = <D = 90°
<A = <B = 90°
(both <A will be Cancelled)
<B = <D = 90°


AD = BC
AD = DF
(both AD will be Cancelled)
BC = DF


Now,

BE = DC ( Just proved)
<B = < D = 90° (just proved)
BC = DF ( just proved)

∆ BEC Congruent ∆ DCF ( SAS rule or Side Angle Side rule)


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