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Question
If in ∆ABC and ∆DEF, \[\frac{AB}{DE} = \frac{BC}{FD}\], then ∆ABC ∼ ∆DEF when
Options
∠A = ∠F
∠A = ∠D
∠B = ∠D
∠B = ∠E
Solution
Given: In ΔABC and ΔDEF, `(AB)/(DE)=(BC)/(FD)`.
We know that if in two triangles, one pair of corresponding sides are proportional and the included angles are equal, then the two triangles are similar.
Then, `∠B=∠D`
Hence, ΔABC is similar to ΔDEF, we should have .`∠B=∠D`
Hence the correct answer is `c`
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