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Question
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
MCQ
Fill in the Blanks
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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]
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