If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio and hence the two triangles are similar. Which is the above criterion?

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AAA similarity criterion

SAS similarity criterion

SSS similarity criterion

All of the above

answer is A.

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Detailed Solution

Given that if in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio and hence the two triangles are similar.
Question Image

Δ EFD

and

Δ BCA

∠ ABC

∠ DEF

∠ ACB

∠ DFE

∠ BAC

∠ EDF

Δ EFD

\sim

Δ BCA

[By AAA postulate]
If the corresponding angles are equal then the triangles are similar by

AAA

similarity criteria.
Hence option 1 is the answer.

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