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 a pair of corresponding/alternate interior angles equal, and the vertical angles at G are equal. With FG ≅ GH as the given side, the triangles have two equal angles and a corresponding side — so they are congruent by either ASA (if the side is included) or AAS (if it is not).
Reason: EF ∥ HJ gives a pair of corresponding/alternate interior angles equal, and the vertical angles at G are equal. With FG ≅ GH as the given side, the triangles have two equal angles and a corresponding side — so they are congruent by either ASA (if the side is included) or AAS (if it is not).
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