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 makes corresponding angles equal (∠EFG ≅ ∠JHG and ∠EGF ≅ ∠JGH). Together with FG ≅ GH, the triangles are congruent by ASA (two angles and the included side FG ≅ GH) and hence also by AAS (two angles and a corresponding side).
Reason: EF ∥ HJ makes corresponding angles equal (∠EFG ≅ ∠JHG and ∠EGF ≅ ∠JGH). Together with FG ≅ GH, the triangles are congruent by ASA (two angles and the included side FG ≅ GH) and hence also by AAS (two angles and a corresponding side).
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.