Question

Look at the figure which now shows the value of x for DS. Write the similarity ratio as a fraction in simplest form

Answer 1

Since both figures are similar, we have the following proportions:

$\frac{HP}{GD}=\frac{PT}{DS}$

in this case, we have that HP=4, GD=8, PT=6 and DS=12, then we have:

$\frac{4}{8}=\frac{6}{12}$

the ratio in its simplest form is 1/2, since:

$\frac{6}{12}=\frac{4}{8}=\frac{1}{2}$