Mathematics
If BA = DE, AC = DF and BF = EC, then the triangles ABC and DEF are congruent by axiom.
ASA
AAS
RHS
SSS
Triangles
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Answer
Given, BF = EC
Adding FC both sides, we get
⇒ BF + FC = EC + FC
⇒ BC = EF ………………………(1)
Now,
⇒ BA = DE (Given)
⇒ AC = DF (Given)
⇒ BC = EF (From equation (1))
∴ ΔABC ≅ ΔDEF (By SSS congruency criterion)
Hence, option 4 is the correct option.
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Statement 1: ∠A = ∠Q and ∠B = ∠R, then to get the triangles, congruent, we must have AB = PR.
Statement 2: The given Δs will be congruent, if AB = QR.
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.