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MCQ

Fill in the Blanks

If in triangles ABC and DEF, `(AB)/(DE) = (BC)/(FD)`, then they will be similar, when ______.

#### Options

∠B = ∠E

∠A = ∠D

∠B = ∠D

∠A = ∠F

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#### Solution

If in triangles ABC and DEF, `(AB)/(DE) = (BC)/(FD)`, then they will be similar, when **∠B = ∠D**.

**Explanation:**

Given, in ∆ABC and ∆EDF,

`(AB)/(DE) = (BC)/(FD)`

So, ∆ABC ~ ∆EDF if ∠B = ∠D ......[By SAS similarity criterion]

Concept: Criteria for Similarity of Triangles

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