Question

steve wants to prove that △klm ≅ △uts using the asa congruence theorem. what information is missing (1 point)
○ lm ≅ ts
○ ∠m ≅ ∠s
○ km ≅ us
○ kl ≅ ut

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 \(\angle L\cong\angle T\) (the marked angles). We need the included sides between the pairs of angles and another pair of angles.

Step3: Determine the missing information

The included side between the angles for \(\triangle KLM\) and \(\triangle UTS\) should be congruent. The included side for the known equal - angles in \(\triangle KLM\) is \(KL\) and in \(\triangle UTS\) is \(UT\). For ASA, we need \(\overline{KL}\cong\overline{UT}\).

Answer:

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