Question

Use the image to answer the question.

Two similar triangles, upper G upper H upper I and upper J upper K upper L are marked for congruence.

Which congruence theorem proves △GHI≅△JKL ?

(1 point)
Responses

ASA Theorem
ASA Theorem

SAS Theorem
SAS Theorem

SSS Theorem
SSS Theorem

AAS Theorem
AAS Theorem
Skip to navigation














































page 1 of 1

Answer 1

To determine which congruence theorem proves △GHI ≅ △JKL, we need to identify the information given in the triangles, especially which sides and angles are known to be congruent.

1. **ASA Theorem (Angle-Side-Angle)**: If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.
2. **SAS Theorem (Side-Angle-Side)**: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.
3. **SSS Theorem (Side-Side-Side)**: If all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.
4. **AAS Theorem (Angle-Angle-Side)**: If two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Without seeing the specific image or the details about the sides and angles of triangles GHI and JKL, I am unable to choose the congruence theorem directly. Generally, based on what you observe, look for either two angles and a side, two sides and an angle, or three sides being indicated as congruent to determine the correct answer.

If you know that the triangles share angles and one side, the answer could be ASA or AAS. If you have two sides and an included angle, then it's SAS; if all three sides are provided as equal, it's SSS.

Please evaluate the congruence relationships based on what is described in the image/text you are referring to and then select the appropriate theorem accordingly.