Question

If $△ABC\cong △DEF$ by SSS 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 = FE, CA = FD
• D. AB = DE, BC = FE, $\angle$C = $\angle$E

Answer 1

The correct option is C AB = DE, BC = FE, 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 SSS congruence.

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

$Also,\angle A=\angle D,\angle B=\angle Eand\angle C=\angle F.$