Question

Suppose △ABC≅△EFG. Which congruency statement is true? AB¯¯¯¯¯≅FG¯¯¯¯¯ BC¯¯¯¯¯≅FG¯¯¯¯¯ AC¯¯¯¯¯≅EF¯¯¯¯¯ AB¯¯¯¯¯≅EG¯¯¯¯¯

Answer 1

A = E

B = F

C = G

Look for the equation which has the same placement. Your answer should be B) BC=FG

Answer 2

Answer: Second option $BC\cong FG$ is the correct option.

Explanation:

If two triangles are congruent then their corresponding sides are congruent.

In $\triangle ABC$ and $\triangle EFG$, AB, BC, and CA are corresponding to EF, FG and GE respectively.

Therefore, if $\triangle ABC\cong \triangle EFG$ then,

$AB\cong EF$,

$BC\cong FG$,

And, $CA\cong GE$

Therefore, only second option is correct.