Question

Are the polygons similar? If they are, choose the correct similarity statement and scale factor. Not drawn to scale.

Answer 1

Option B: $\Delta R S T \sim \Delta UV W ; \frac{5}{6}$

Explanation:

The polygons are similar because in $\Delta R S T$, the measure of ∠R=32°

Also, in $\Delta U V W$, the measure of ∠U=32°

Now, we shall find the scale factor,

Since, $\Delta R S T \sim \Delta U V W$, then the sides are proportional which is given by,

$\frac{RS}{UV}$

Substituting the values of RS and UV from the figure, we get,

$\frac{10}{12}$

Simplifying, we have,

$\frac{5}{6}$

Thus, the scale factor is $\frac{5}{6}$

Hence, Option B is the correct answer.