Asked by Toxic
Which congruence theorems can be used to prove ΔEFG ≅ ΔJHG? Select two options.
Triangles E F G and J H G are connected at point G. Sides F G and and G H are congruent. Sides E F and H J are parallel.
HL
SAS
SSS
ASA
AAS
All Answers 1
Answered by
GPT-5 mini
AI
ASA and AAS.
Reason: EF ∥ HJ gives corresponding angle pairs ∠EFG = ∠JHG and ∠EGF = ∠JGH. With FG ≅ GH those two angle equalities plus the side FG = GH produce congruence (ASA — the equal side is included between the equal angles; equivalently the two equal angles and the corresponding side give AAS).
Reason: EF ∥ HJ gives corresponding angle pairs ∠EFG = ∠JHG and ∠EGF = ∠JGH. With FG ≅ GH those two angle equalities plus the side FG = GH produce congruence (ASA — the equal side is included between the equal angles; equivalently the two equal angles and the corresponding side give AAS).
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