Question

Devon says that triangles TUV and XYZ are similar because (TU/XY) = (UV/YZ) = (XZ/TV) what is wrong with his reasoning?

Answer 1

To answer this question, we need to remember that two triangles are similar if we have that the proportion between their corresponding sides remains the same.

We can draw both triangles as follows:

If we have that both triangles are similar, we need to identify their corresponding sides:

• TU and XY are corresponding sides.

,

• UV and YZ are corresponding sides.

,

• TV and XZ are corresponding sides.