Ask a New Question
Menu

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)ResponsesASA TheoremASA TheoremAAS TheoremAAS TheoremSSS TheoremSSS TheoremSAS Theorem

1 answer

To determine which congruence theorem proves that triangles \( \triangle GHI \) and \( \triangle JKL \) are congruent, we need to identify the specific conditions of the triangles based on the information provided in the image. However, since I cannot see the image, I can suggest how each theorem applies:

  1. ASA (Angle-Side-Angle) Theorem: If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

  2. AAS (Angle-Angle-Side) Theorem: If two angles and a non-included side of one triangle are congruent to two angles and a corresponding side of another triangle, then the triangles are congruent.

  3. SSS (Side-Side-Side) Theorem: If all three sides of one triangle are congruent to all three sides of another triangle, then the triangles are congruent.

  4. SAS (Side-Angle-Side) Theorem: If two sides and the included angle of one triangle are congruent to two sides and the corresponding included angle of another triangle, then the triangles are congruent.

If you know the elements of the triangles (such as pairs of angles or sides that can be compared), you can select the corresponding congruence theorem. Based on typical cases:

  • If two angles and the side between them are known to be congruent, choose ASA.
  • If two angles and a side not between them are known to be congruent, choose AAS.
  • If all corresponding sides are known to be congruent, choose SSS.
  • If two sides and the included angle are known to be congruent, choose SAS.

Based on standard scenarios:

  • If your situation fits one of these patterns, select the corresponding theorem as your answer.

Without seeing the specific details of the triangles, I cannot provide an exact answer. However, if the image shows criteria that match one of these theorems, you would choose that theorem accordingly.