Given: HF || JK; HG ≅ JG Prove: TriangleFHG ≅ TriangleKJG Triangles F H G and K J G connect at point G. Sides F H and J K are parallel. Sides H G and G J are congruent. To prove that the triangles are congruent by ASA, which statement and reason could be used as part of the proof? AngleFGH ≅ AngleKGJ because vertical angles are congruent. AngleJKG ≅ AngleHFG because vertical angles are congruent. AngleFHG ≅ AngleJKG because right angles are congruent. AngleHFG ≅ AngleKJG because alternate interior angles are congruent.

In the question, the first choice is correct because in this choice we apply the verticle angle theorem, in which Vertical angles, angles opposite each other composed of two flat surfaces interconnecting are congruent, and its angles are always congruent.

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jayilych4real jayilych4real · Answer 2 · 2022-01-26T19:25:11+01:00

To prove that the triangles are congruent by ASA, the statement and reason which could be used as part of the proof is:

"Angle FGH ≅ Angle KGJ because vertical angles are congruent"

Congruent Angles

This refers to the angles which have equal measure and some examples of this includes:

Equilateral Triangle
Isosceles Triangle, etc

With this in mind, we can see that based on the vertical angle theorem, we can see that the opposite angles have flat surfaces which makes them to interconnect and congruent.

Read more about congruent angles here:
https://brainly.com/question/2938476