Respuesta :
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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