Question

What additional information could be used to prove that triangle abc is congruent to triangle nml?

1) The measures of angles A, B, and C are equal to the measures of angles N, M, and L, respectively.
2) The lengths of sides AB, BC, and AC are equal to the lengths of sides NM, ML, and NL, respectively.
3) The measures of angles A, B, and C are equal to the measures of angles M, N, and L, respectively.
4) The lengths of sides AB, BC, and AC are equal to the lengths of sides NM, LN, and ML, respectively.

Answer 1

To prove triangle ABC congruent to triangle NML, we can use the information provided in options 1 and 2. Option 1 states that the measures of angles A, B, and C equal the measures of angles N, M, and L. Option 2 states that the lengths of sides AB, BC, and AC equal the lengths of sides NM, ML, and NL.

Step-by-step explanation:

To prove that triangle ABC is congruent to triangle NML, we can use the information provided in options 1 and 2. Option 1 states that the measures of angles A, B, and C are equal to the measures of angles N, M, and L, respectively. This satisfies the angle-angle-side (AAS) congruence criterion. Option 2 states that the lengths of sides AB, BC, and AC are equal to the lengths of sides NM, ML, and NL, respectively. This satisfies the side-side-side (SSS) congruence criterion.