Question

which pair of triangles is congruent by angle - side - angle? 1 2 3 4

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

• Pair 1: There is no clear indication of two angles and included side equality.
• Pair 2: In the first triangle, we have two angles (let's call them \(\angle A\), \(\angle B\)) and the included side (the side between \(\angle A\) and \(\angle B\)). In the second triangle, we can match the two angles (corresponding to \(\angle A\) and \(\angle B\)) and the included side (which is marked as equal).
• Pair 3: This is more related to right - triangle congruence (HL if right - angled, but here the given marks suggest SSS or SAS like congruence rather than ASA).
• Pair 4: This is more related to SSS (side - side - side) congruence as all three sides (marked with equal signs) are involved rather than two angles and an included side.

Answer:

2