In the diagram, ABC = EDC. Which statement is NOT necessarily true?
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Answer:
B. BC ≅ CE is correct.
Step-by-step 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.