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Question NOTE: On the bottom right corner of each question, you will see a button that says “Check Answer.” Click this to check your answer before submitting. It will not tell you the correct answer, but it will tell you whether the answer you selected is correct or not. You can use this feature ONCE per question (only for Quizzes and Sample Works). Estefania wants to prove that △KLM≅△UTS using the ASA Congruence Theorem. What information is missing? (1 point) Responses KM¯¯¯¯¯¯¯¯¯¯≅US¯¯¯¯¯¯¯ line segment cap k cap m is congruent to line segment cap u cap s ∠M≅∠S ∠M≅∠S KL¯¯¯¯¯¯¯¯≅UT¯¯¯¯¯¯¯ line segment cap k liters is congruent to line segment cap u cap t LM¯¯¯¯¯¯¯¯¯≅TS¯¯¯¯¯¯¯ line segment cap l cap m is congruent to line segment cap t cap s Skip to navigation page 3 of 3

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To prove that triangles \( \triangle KLM \cong \triangle UTS \) using the ASA (Angle-Side-Angle) Congruence Theorem, you need two angles and the included side to be congruent between the two triangles.

From your options, it seems that you have some segment congruences and angle congruences listed. Here's what you would typically need:

  1. Two angles from each triangle (e.g., ∠M and ∠S) should be shown as congruent.
  2. The included side (such as KM or LM) must be congruent between the two triangles.

Without knowing the specific information given in your options, you'd specifically need:

  • Two angles (e.g., ∠K and ∠U) or (∠L and ∠T)
  • One included side (between those angles, e.g., KL and UT or LM and TS)

Check which specific angle or side information you have and compare it with what is needed to determine what is missing.

Question NOTE: On the bottom right corner of each question, you will see a button that says “Check Answer.” Click this to check your answer before submitting. It will not tell you the correct answer, but it will tell you whether the answer you selected is correct or not. You can use this feature ONCE per question (only for Quizzes and Sample Works). Estefania wants to prove that △KLM≅△UTS using the ASA Congruence Theorem. What information is missing? (1 point) Responses KM¯¯¯¯¯¯¯¯¯¯≅US¯¯¯¯¯¯¯ line segment cap k cap m is congruent to line segment cap u cap s ∠M≅∠S ∠M≅∠S KL¯¯¯¯¯¯¯¯≅UT¯¯¯¯¯¯¯ line segment cap k liters is congruent to line segment cap u cap t LM¯¯¯¯¯¯¯¯¯≅TS¯¯¯¯¯¯¯ line segment cap l cap m is congruent to line segment cap t cap s Skip to navigation page 3 of 3

To determine what information is missing for Estefania to prove that \( \triangle KLM \cong \triangle UTS \) using the ASA Congruence Theorem, we need to analyze the information provided.

The ASA Theorem states that if you have two angles and the included side of one triangle congruent to two angles and the included side of another triangle, then the triangles are congruent.

Given the options you provided, we should look for:

  1. Two angles in both triangles should be congruent.
  2. One side (the side that is included between the two angles).

Now let's evaluate the options:

  1. KM ≅ US: This option does not help in proving ASA because it compares a side but does not involve angles.
  2. ∠M ≅ ∠S: This gives us one angle congruence, but we need one more angle from triangle \( KLM \) and the side between the angles.
  3. KL ≅ UT: This option compares another side, but again it doesn’t help us prove ASA.
  4. LM ≅ TS: Similar to the others, this compares sides.

To use the ASA theorem, you need two angles congruent and the side between those angles congruent. It appears that the angle information (∠M and ∠S) isn't enough perhaps because you’re missing either another angle or confirmation of the included side.

If you already have one angle congruent (∠M ≅ ∠S) and know the included side (either KM, KL, or LM), check which angle you need that corresponds with the other triangle (like ∠L ≅ ∠T).

Therefore, the missing information is likely either:

  • The congruence of another angle, such as ∠K being congruent to ∠U (or similar) to complete the ASA setup.

Based on this evaluation, select the information relating to either providing another angle or confirming a valid angle-side configuration to confirm ASA.