# In <span lang="EN

Given:- AB||DE , AB=DE; BC||EF, BC=EF

Formula used:- SSS congruency rule

If all 3 sides of both triangle are equal then

Both triangles are congruent.

Solution:-

(1) In ABED

AB||DE

AB=DE

ABED is a parallelogram

If one pair of side in quadrilateral is equal and parallel

(2) In BCFE

BC||EF

BC=EF

BCEF is a parallelogram

If one pair of side in quadrilateral is equal and parallel

(3) As ABED is a parallelogram

As BCFE is a parallelogram

BE||CF , BE=CF ;

By concluding both above statements

ACFD is a parallelogram

If one pair of side in quadrilateral is equal and parallel

If ACDF is a parallelogram ;

Then

AC=DF [opposite sides of parallelogram are equal ]

(4) In Δ ABC and Δ DEF

AB=DE [Given]

BC=EF [Given]

AC=DF [Proved above]

Δ ABC Δ DEF [SSS congruency rule]

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