Which of the following pairs of triangles are congruent by the SSS Congruence Theorem?(1 point) Responses Image with alt text: An illustration shows two similar triangles. The corresponding sides of both the triangles are marked as congruent. Image with alt text: An illustration shows two similar triangles. One corresponding side and two angles of each triangle are marked as congruent. Image with alt text: An illustration shows two similar triangles. One side and two angles of each triangle are marked as congruent.

Answer 1

To determine if any of the provided pairs of triangles are congruent by the SSS (Side-Side-Side) Congruence Theorem, we need to check if all three corresponding sides of the triangles in each pair are marked as congruent.

1. First Pair: If both triangles have all three corresponding sides marked as congruent (equal lengths), then they are congruent by the SSS theorem.

2. Second Pair: If one corresponding side and two angles of each triangle are marked as congruent, they cannot be considered congruent by the SSS theorem, as we lack the information about all three sides being equal.

3. Third Pair: Similarly, if one side and two angles of each triangle are congruent, these triangles are determined by the Angle-Side-Angle (ASA) theorem rather than SSS.

From this analysis, only the first pair of triangles would be congruent by the SSS Congruence Theorem if indeed all three sides are marked as congruent.

Please check the markings in your images to confirm if this applies!