Use the image to answer the question.

Question

An illustration shows a horizontal parallelogram divided into two triangles.

What additional piece of information would you need to be able to state that △KLM≅△MNK by the SSS Congruence Theorem?

(1 point)
Responses

NL¯¯¯¯¯¯¯¯≅KM¯¯¯¯¯¯¯¯¯¯
Modifying above upper N upper L with bar congruent to Modifying above upper K upper M with bar

KM¯¯¯¯¯¯¯¯¯¯≅KN¯¯¯¯¯¯¯¯¯
Modifying above upper K upper M with bar congruent to Modifying above upper K upper N with bar

KL¯¯¯¯¯¯¯¯≅MN¯¯¯¯¯¯¯¯¯¯
Modifying above upper K upper L with bar congruent to Modifying above upper M upper N with bar

KL¯¯¯¯¯¯¯¯≅LM¯¯¯¯¯¯¯¯¯

Answer 1

To use the SSS (Side-Side-Side) Congruence Theorem to establish that △KLM≅△MNK, you need to show that all three corresponding sides of the triangles are equal.

To do this, you would need to know the lengths of the sides of the triangles. Among the options provided, the correct additional piece of information you would need is:

NL¯¯¯¯¯¯¯¯≅KM¯¯¯¯¯¯¯¯¯¯

This establishes that one pair of corresponding sides (NL and KM) are equal, which is necessary to apply the SSS Congruence Theorem alongside the other two pairs of equal sides (which would also need to be stated or proven).