Question

Determine whether each pair of figured i’d similar. If so, write the similarity statement and scale factor. If not, explain your reasoning.

Answer 1

Solution:

The triangles are similar if;

$\frac{|AB|}{|UV|}=\frac{|BC|}{|VT|}=\frac{|AC|}{|UT|}$

Thus, we have;

$\frac{16}{24}=\frac{14}{21}=\frac{12}{18}$

Then;

Triangle ABC is similar to triangle UVT.

The scale factor is;

$\frac{2}{3}$