The SAS Congruence Theorem Quick Check

Question

3 of 53 of 5 Items
Question
Which of the following pairs of triangles illustrate the SAS criterion for triangle congruence?(1 point)
Responses

Two congruent triangles
Image with alt text: Two congruent triangles

Two congruent triangles positioned side by side in the same orientation.
Image with alt text: Two congruent triangles positioned side by side in the same orientation.

Two congruent triangles.
Image with alt text: Two congruent triangles.

Two congruent triangles.
Image with alt text: Two congruent triangles.

Answer 1

The SAS (Side-Angle-Side) criterion for triangle congruence states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

To determine which of the given pairs of triangles illustrate the SAS criterion, we need to look for examples where:

1. Two sides of one triangle are congruent to two sides of the other triangle.
2. The included angle between those two sides in each triangle is also congruent.

Since the response options only describe images and not their specific configurations, I'll help you understand how to identify the correct pair based on their descriptions. You would look for:

• A pair of triangles where at least one pair of sides is shown as equal in length.
• The angle formed between those two sides should also be marked as equal.

So, if you can identify which image shows these characteristics (two congruent sides with a congruent included angle), that will be the pair that illustrates the SAS criterion. If none of the images specifically highlight this configuration, then none may illustrate the SAS criterion effectively.

If you provide specific visual descriptions of the images, I can help you better identify the correct pair!