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Answer: D

Step-by-step explanation:

The information given cannot be used to prove that ΔGHF ≅ ΔGJK by ASA, AAS, nor AAA Congruence Theorem, therefore, the answer is: D. not enough information given

Recall:

  • Two triangles having two pairs of congruent angles and a pair of included sides are congruent by the ASA Congruence Theorem.
  • Two triangles having three pairs of congruent angles are congruent by the AAA Congruence Theorem.
  • Two triangles having two pairs of congruent angles and a pair of non-included sides are congruent by the ASA Congruence Theorem.

ΔGHF and ΔGJK are shown in the diagram attached below.

One pair of congruent sides is given - GH ≅ GJ

Also, only one pair of congruent angles is given: ∠H ≅ ∠J

The information given cannot be used to prove that ΔGHF ≅ ΔGJK by ASA, AAS, nor AAA Congruence Theorem, therefore, the answer is: D. not enough information given.

Learn more about congruence theorem on:

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