Question

Q-2) In Δ ABC and Δ DEF , AB = FD and < A = < D, the two triangle will be congruent by SAS test if
(a) AB=EF (b) AC=DE (c) AC=EF (d) DE ​

Answer 1

Answer:

AC=DE

Step-by-step explanation:

For triangle to be congruent SAS(Side angle Side) axiom we need to have two equal sides and the included angle same.

In ΔABC and ΔDFE

We have AB=DF

and ∠A=∠D

But ∠A is formed by the two sides AB and AC of ΔABC

But ∠D is formed by the two sides DE and DF of ΔDFE

So we need AC=DE for the two triangles to be congruent.