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PilotLPTM [1.2K]
3 years ago
13

Which congruency theorem can be used to prove that △GHL ≅ △KHJ?

Mathematics
2 answers:
xenn [34]3 years ago
6 0

Answer:

B. ASA (Angle-Side-Angle).

Step-by-step explanation:

We have been given a diagram and we are asked to find the congruence theorem, which will prove that △GHL ≅ △KHJ.

Upon looking at our diagram we can see that side length GH of △GHL is equal to side length KH of △KHJ.

We are also given that m\angle HGL=m\angle HKJ.

We can see that \angle GHL is vertical opposite angle of \angle KHJ as they are formed by the intersection of line segments GK and JL. Therefore, m\angle GHL\cong m\angle KHJ, by vertical angles theorem.

We can see that both triangles have two congruent angles and one congruent included side, therefore, △GHL ≅ △KHJ by ASA congruence and option B is the correct choice.

meriva3 years ago
4 0

Answer:

it is b. ASA just took the test

Step-by-step explanation:

1. pick answer B.

2. scroll down to the "submit" or "done" button

3. press button

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