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If \(\frac {AB}{XY} = \frac {BC}{YZ} = \frac {AC}{XZ}\) then, ∆ABC & ∆XYZ are similar according to which test?

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If \(\frac {AB}{XY} = \frac {BC}{YZ} = \frac {AC}{XZ}\) then, ∆ABC & ∆XYZ are similar according to which test?

(a) AAA test

(b) AA test

(c) SAS test

(d) SSS test

The question was asked during an interview.

Query is from Criteria for Similarity of Triangle in portion Triangles of Mathematics – Class 10

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Correct choice is (d) SSS test

Easy explanation: Since, the sides of the triangle are proportional to each other; therefore the triangles are similar according to the Side – Side – Side test of similarity.

Here, the sides of the triangle are in proportional to each other. Hence, they are similar according to the SSS test.

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