Question

steve wants to prove that △klm ≅ △uts using the asa congruence theorem. what information is missing (1 point)
○ $overline{lm}congoverline{ts}$
○ $overline{kl}congoverline{ut}$
○ $angle mcongangle s$
○ $overline{km}congoverline{us}$

Explanation:

Step1: Recall ASA Congruence Theorem

The ASA (Angle - Side - Angle) Congruence Theorem states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Step2: Identify given angles

In \(\triangle KLM\) and \(\triangle UTS\), we can see that \(\angle K\) and \(\angle U\) are one pair of congruent angles, and \(\angle L\) and \(\angle T\) are another pair of congruent angles. The included side between \(\angle K\) and \(\angle L\) in \(\triangle KLM\) is \(\overline{KL}\), and the included side between \(\angle U\) and \(\angle T\) in \(\triangle UTS\) is \(\overline{UT}\). For ASA, we need \(\overline{KL}\cong\overline{UT}\).

Answer:

\(\overline{KL}\cong\overline{UT}\)