Question

What additional piece of information would you need to be able to state that △KLM≅△MNK by the SSS Congruence Theorem? (1 point) Responses KM¯¯¯¯¯¯¯¯¯¯≅KN¯¯¯¯¯¯¯¯¯ Modifying above upper K upper M with bar congruent to Modifying above upper K upper N with bar NL¯¯¯¯¯¯¯¯≅KM¯¯¯¯¯¯¯¯¯¯ Modifying above upper N upper L with bar congruent to Modifying above upper K upper M with bar KL¯¯¯¯¯¯¯¯≅LM¯¯¯¯¯¯¯¯¯ Modifying above upper K upper L with bar congruent to Modifying above upper L upper M with bar KL¯¯¯¯¯¯¯¯≅MN¯¯¯¯¯¯¯¯¯¯

Answer 1

To determine that triangles \( \triangle KLM \cong \triangle MNK \) by the SSS (Side-Side-Side) Congruence Theorem, you need to establish that all corresponding sides of the two triangles are congruent.

From the options provided, you would need to know:

• \( \overline{KM} \cong \overline{KN} \) (which states that the side \( KM \) is congruent to side \( KN \)).

This piece of information is necessary to apply the SSS Congruence Theorem, as you would already have the congruence of the other two pairs of sides from the triangle relationships, specifically:

• \( \overline{KL} \cong \overline{MN} \)
• \( \overline{LM} \cong \overline{NK} \)

So, the answer to the question is: \( \overline{KM} \cong \overline{KN} \).