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प्रश्न
In ΔABC and ΔDEF, if ∠B = ∠E, ∠F = ∠C and AB = 3DE. Then, the two triangles are but not ______.
रिक्त स्थान भरें
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उत्तर
In ΔABC and ΔDEF, if ∠B = ∠E, ∠F = ∠C and AB = 3DE. Then, the two triangles are similar but not congruent.
Explanation:
Since ∠B = ∠E and ∠C = ∠F, the triangles are similar by the AA criterion (corresponding angles equal ⇒ corresponding sides are proportional). Because AB corresponds to DE and AB = 3DE, the common ratio (scale factor) is 3 (not 1), so the triangles are not congruent.
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