Sides AB and A'B' are parallel. 1. Are triangles ABC and A'B'C similar? Explain how you know. 2. Find the length of segment AB or explain why you cannot find it.

Question

Answer 1

They are similar by AA. Common angle C and either angle A and A' or B and B' by corresponding angles.

The scale factor of ABC to A'B'C is 3:2 (4+2/4 or 6+3/6 = 3/2), but unless given A'B' cannot determine AB given that ratio.