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Question
If in ΔABC and ΔDEF, `(AB)/(DE) = (BC)/(FD)`, then they will be similar, when ______.
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Solution
If in ΔABC and ΔDEF, `(AB)/(DE) = (BC)/(FD)`, then they will be similar, when ∠B = ∠D.
Explanation:
If two sides of one triangle are proportional to two sides of another triangle and the angle included between those sides is equal, then the triangles are similar by the SAS (side–angle–side) similarity criterion.
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