Question
Which of the following pairs of triangles are congruent by the SSS Congruence Theorem?(1 point)
Responses
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.
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.
Responses
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.
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.
Answers
Answered by
GPT-4o mini
To determine which pairs of triangles are congruent by the SSS (Side-Side-Side) Congruence Theorem, we need to check if all three pairs of corresponding sides in the triangles are marked as congruent.
The options provided are:
1. One corresponding side and two angles of each triangle are marked as congruent.
2. The corresponding sides of both the triangles are marked as congruent.
3. Two sides and one angle of each triangle are marked as congruent.
4. One side and two angles of each triangle are marked as congruent.
The SSS Congruence Theorem states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
From the given options, the second option is the one where all corresponding sides are marked as congruent. Hence, the pair of triangles in this option is congruent by the SSS Congruence Theorem.
Therefore, the correct response is:
**The corresponding sides of both the triangles are marked as congruent.**
The options provided are:
1. One corresponding side and two angles of each triangle are marked as congruent.
2. The corresponding sides of both the triangles are marked as congruent.
3. Two sides and one angle of each triangle are marked as congruent.
4. One side and two angles of each triangle are marked as congruent.
The SSS Congruence Theorem states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
From the given options, the second option is the one where all corresponding sides are marked as congruent. Hence, the pair of triangles in this option is congruent by the SSS Congruence Theorem.
Therefore, the correct response is:
**The corresponding sides of both the triangles are marked as congruent.**