Question

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

a)SSS
b)ASA
c)SAS
d)AAS

Answer 1

it is b. ASA just took the test

Explanation:

1. pick answer B.

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

3. press button

Answer 2

B. ASA (Angle-Side-Angle).

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.