Question

For each pair of triangles below, work out if the triangles are similar. 65° Pair A 65° 25° 25% Pair B 55° 45° Pair C 35° 35° Not drawn accurately​

Answer 1

Pair A:

The two triangles have two angles that are congruent, so by the Angle-Angle (AA) similarity theorem, they are similar.

Pair B:

The two triangles have two angles that are congruent, so by the Angle-Angle (AA) similarity theorem, they are similar.

Pair C:

The two triangles have two angles that are congruent, but they are not in the same order, so we cannot conclude that the triangles are similar.

Answer 2

Triangle Pair A and Triangle Pair B are not similar, while Triangle Pair C is similar.

Step-by-step explanation:

When determining if triangles are similar, we must check if their corresponding angles are equal. Triangle Pair A has two angles of 65° and one angle of 25°, while Triangle Pair B has angles of 55° and 45°. Since these angles are not equal, Triangle Pair A and Triangle Pair B are not similar. On the other hand, Triangle Pair C has two angles of 35°, which are equal to each other. Therefore, Triangle Pair C is similar.