Answer:
C) To know whether 2 triangles are similar, it is enough to know the measure of 2 angles in each triangle.
Explanation:
Two triangles are said to be similar if:
- corresponding angles are the same size, and
- corresponding sides are in the same ratio.
As there are three interior angles in a triangle, and the sum of the interior angles is always 180°, we need to know the measure of at least 2 angles in each triangle to determine if they are similar. The known angles don't have to be corresponding angles, as we can calculate the third angle and then compare all three angles to determine if the triangles are similar.
With regards to the sides of a triangle, it is not enough to know the measure of 2 sides to determine if they are similar. We would need to know at least one interior angle in this case.