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 2918256109.     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

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

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