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kirill115 [55]
3 years ago
5

Which triangles must be congruent?

Mathematics
1 answer:
blsea [12.9K]3 years ago
6 0

Answer:

Δ ABC ≅ Δ FDE ≅ Δ GIH

Step-by-step explanation:

Between Δ ABC and Δ FDE, given that  

(i) AB = DF  

(ii) BC = HI and DE = HI, hence, BC = DE

(iii) ∠ B = ∠ D

Hence, by Side-Angle -Side i.e. SAS criteria Δ ABC ≅ Δ FDE

Again, between Δ ABC and Δ GIH, given that  

(i) AB = GI

(ii) BC = HI and  

(iii) ∠ B = ∠ I.

Hence, by Side-Angle-Side i.e. SAS criteria Δ ABC ≅ Δ GIH.

Therefore, Δ ABC ≅ Δ FDE ≅ Δ GIH (Answer)

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