A has a pair of triangles with corresponding sides proportional, and B has a pair of pentagons with corresponding sides

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Q 2928767601.     A has a pair of triangles with corresponding sides proportional, and B has a pair of pentagons with corresponding sides proportional.

`S_1 \equiv` A's triangles must be similar

`S_2 \equiv` 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 `S_2` are true

HINT


Solution
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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