If in two triangles ABC and DEF,AB/DE = BC/FE =CA/FD , then
A. ΔFDE~ΔCAB
B. ΔFDE~ΔABC
C. ΔCBA~ΔFDE
D.ΔBCA~ΔFDE
which one is correct answer
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Answer:
option C and D are same so they are
Answered by
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Given that ΔABC and ΔDEF are two triangles such that A B D E = B C E F = C A F D We know that AAA similarity criterion states that in two triangles, if corresponding angles are equal, then their corresponding sides are in the same ratio and hence the two triangles are similar. ⇒ ∠A = ∠D,
∠B = ∠E,
∠C = ∠F
∴ ΔCAB ~ ΔFDE
Hence proof
∠B = ∠E,
∠C = ∠F
∴ ΔCAB ~ ΔFDE
Hence proof
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