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Can the two triangles below be shown to be congruent using ASA? (1 point) Responses No, they can not be shown congrent with ASA No, they can not be shown congrent with ASA Yes, by using the triangle angle sum theorem, we can figure out that the missing angle in the pink triangle is 100 degrees and then use ASA Yes, by using the triangle angle sum theorem, we can figure out that the missing angle in the pink triangle is 100 degrees and then use ASA Yes, because there are 2 angle measurements given in each triangle and 1 side

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To determine if the two triangles can be shown to be congruent using ASA (Angle-Side-Angle), we need to check that we have two angles and the included side of one triangle correspondingly matching with two angles and the included side of the other triangle.

  1. If we know the measures of two angles in each triangle and the length of the side between those angles is the same in both triangles, then we can use the ASA postulate to prove that the triangles are congruent.

  2. If the missing angle can indeed be calculated using the triangle angle sum theorem (which states that the sum of angles in a triangle is always 180 degrees), and if that calculated angle matches an angle in the other triangle, then this could support congruence under ASA.

The correct response here would depend on the specific information about the triangles given in a visual or numerical context that is not provided in your question. However, based on the general analysis of ASA:

  • If it is true that we have two angles and a side that fit the ASA conditions, the correct response would be:

    Yes, by using the triangle angle sum theorem, we can figure out that the missing angle in the pink triangle is 100 degrees and then use ASA.

If this is not the case according to the details of your triangles, then another response may apply. Please check the specifics of the triangles to confirm the conditions for ASA are met.