Question

If $\Delta ABC$ $\cong$ $\Delta DEF$ by S.S.S. congruence, then which of the following options is correct?

• A. AB = EF, BC = FD, CA = DE
• B. AB = FD, BC = DE, CA = FE
• C. AB = DE, BC = EF, CA = FD
• D. AB = DE, BC = FD, $\angle$C = $\angle$F

Answer 1

The correct option is C

AB = DE, BC = EF, CA = FD

If three sides of one triangle are equal to the three sides of another triangle, then the two triangles are said to be congruent by S.S.S. congruence.

For $\Delta ABC$ $\cong$ $\Delta DEF$,
we have AB = DE, BC = EF and AC = DF in accordance with the definition of S.S.S. congruence condition.