Which of the following pairs of triangles are congruent by the SSS Congruence Theorem?(1 point)

Responses

An illustration shows two similar triangles. One 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.

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 corresponding side and two angles of each triangle are marked as congruent.

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. The corresponding sides of both the triangles are marked as congruent.

An illustration shows two similar triangles. Two sides and one angle of each triangle are marked as congruent.
Image with alt text: An illustration shows two similar triangles. Two sides and one angle of each triangle are marked as congruent.
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1 answer

The Side-Side-Side (SSS) Congruence Theorem states that if all three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent.

Based on your descriptions, the correct pair of triangles that would be congruent by the SSS Congruence Theorem is:

An illustration shows two similar triangles. The corresponding sides of both triangles are marked as congruent.

This means that all three sides of one triangle are congruent to the three sides of another triangle, satisfying the criteria for the SSS Congruence Theorem.

The other options involve angles or only a subset of sides being marked as congruent, which do not meet the requirements for the SSS criterion.