Question

1. how are the following triangle congruent? if they are not congruent then choose nei (not enough information or not possible)

Explanation:

Step1: Recall congruence postulates

Side - Side - Side (SSS) requires all three sides of one triangle equal to corresponding sides of another. Side - Angle - Side (SAS) requires two sides and the included angle equal. Angle - Side - Angle (ASA) requires two angles and the included side equal.

Step2: Analyze first set of triangles

For the first set of right - angled triangles, we have two right angles equal (right - angle), a pair of equal sides (marked) and the side between the right - angle and the marked side is common. This is ASA congruence.

Step3: Analyze second set of triangles

For the second set of triangles, we have two pairs of equal angles and the included side between them is common. This is also ASA congruence.

Answer:

Angle - Side - Angle