Question

A has a pair of triangles with corresponding sides proportional and B has a pair of pentagons with corresponding sides proportional.
$S_1$ = A's triangles must be similar
$S_2$ = B's pentagons must be similar
Which of the following statement is correct?

• A. $S_1$ is true, but $S_2$ is not true
• B. $S_2$ is true, but $S_1$ is not true
• C. Both $S_1$ and $S_2$,are true
• D. Neither $S_1$ and nor $S_2$, is true

Answer 1

The correct option is A $S_1$ is true, but $S_2$ is not true

Only $S_1$ is correct by SSS criteria.

However, nothing can be said about the similarity of the pair of pentagons with just the corresponding proportional sides.

Hence, option A is correct.