Question

In the diagram, ABC = EDC. Which statement is NOT necessarily true?

Answer 1

It would be B, because BC does not necessarily have to be equal to CE, as they are not congruent

Answer 2

B. BC ≅ CE is correct.

Explanation:

We are given that, ΔABC ≅ ΔEDC.

As, we know, when two triangles are congruent, their corresponding sides and corresponding angles are congruent.

So, we get from ΔABC ≅ ΔEDC,

AB ≅ ED, BC ≅ DC and AC ≅ EC

∠A ≅ ∠E, ∠B ≅ ∠D and ∠C ≅ ∠C.

Thus, we have,

Options A, C and D, being true are not correct.

But, option B i.e. BC and CE may not necessarily be congruent.

Hence, option B is correct.