Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

which pair of triangles is congruent by asa?

Question

which pair of triangles is congruent by asa?

Explanation:

Step1: Recall ASA (Angle - Side - Angle) congruence criterion

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

Step2: Analyze each pair

  • First pair: The side is not the included side between the given angles.
  • Second pair: The side is not the included side between the given angles.
  • Third pair: There are two angles and the included side (marked with one tick) that match.
  • Fourth pair: The sides and angles do not match the ASA pattern.

So, the third pair of triangles is congruent by ASA.

Answer:

The third pair of triangles.