Question

Describe and correct the error in identifying congruent triangles.

A. The error is in using the SSS Congruence Theorem; it should be the SAS Congruence Theorem.
B. There is no error in identifying congruent triangles; ATUV is congruent to AXYZ by the SSS Congruence Theorem.
C. The error is in using the SSA Congruence Theorem; it should be the AAS Congruence Theorem.
D. The error is in using the ASA Congruence Theorem; it should be the SAA Congruence Theorem.

Answer 1

The correct answer is B. There is no error in identifying congruent triangles; ATUV is congruent to AXYZ by the SSS Congruence Theorem.

Step-by-step explanation:

The correct answer is B. There is no error in identifying congruent triangles; ATUV is congruent to AXYZ by the SSS Congruence Theorem.

The SSS Congruence Theorem states that if the three sides of one triangle are congruent to the three sides of another triangle, then the triangles are congruent.

In this case, the student correctly identifies that ATUV and AXYZ have all three sides congruent, so the triangles are congruent by the SSS Congruence Theorem.

Option A is incorrect because the error is not in using the SSS Congruence Theorem. Option C is incorrect because SSA is not a valid congruence theorem. Option D is incorrect because ASA is a valid congruence theorem.