Which congruence theorems can be used to prove △EFG ≅ △JHG? Check all that apply.

Mathematics

2 answers:

sasho [114]3 years ago

4 0

Answer:

ASA and AAS

Step-by-step explanation:

We do not know if these are right triangles; therefore we cannot use HL to prove congruence.

We do not have 2 or 3 sides marked congruent; therefore we cannot use SSS or SAS to prove congruence.

We are given that EF is parallel to HJ. This makes EJ a transversal. This also means that ∠HJG and ∠GEF are alternate interior angles and are therefore congruent. We also know that ∠EGF and ∠HGJ are vertical angles and are congruent. This gives us two angles and a non-included side, which is the AAS congruence theorem.

Since EF and HJ are parallel and EJ is a transversal, ∠JHG and ∠EFG are alternate interior angles and are congruent. Again we have that ∠EGF and ∠HGJ are vertical angles and are congruent; this gives us two angles and an included side, which is the ASA congruence theorem.

UkoKoshka [18]3 years ago

3 0

Answer: ASA and AAS

Step-by-step explanation:

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The complete question is

If two triangles are congruent which of the following statements must be true? CHECK ALL THAT APPLY

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B. The triangles have the same size and shape

C. The corresponding sides of the triangles are congruent.

D. The corresponding angles of the triangles are congruent.

Learn more about congruent triangles here:

brainly.com/question/1675117

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