an the two triangles below be shown to be congruent using ASA?

Question

(1 point)
Responses

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

No, they can not be shown congrent with ASA
No, they can not be shown congrent with ASA

Yes, because there are 2 angle measurements given in each triangle and 1 side

Answer 1

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

From your options, the most relevant response is:

Yes, because there are 2 angle measurements given in each triangle and 1 side.

However, the specific wording of your first option also suggests the possibility of determining a missing angle and using the properties of triangle congruence.

If you can confirm that the triangles share the same angle measurements and the included side is equal, then the ASA theorem can indeed be applied, leading to the conclusion of congruence.

So, if the conditions for ASA are met (two angles and the included side), they can be shown to be congruent with ASA.