Question

The two triangles below are similar. What is the similarity ratio of ΔABC to ΔXYZ?

Answer 1

I think the correct answer from the choices listed above is the last option. The two triangles below are similar.  The similarity ratio of ΔABC to ΔXYZ would be 2:3. Since the sides of similar triangles are proportional, we can just take the corresponding sides to find the ratio. Hope this answers the question.

Answer 2

we know that

If the ΔABC and ΔXYZ are similar. then the  corresponding sides of the triangles are proportional

$\frac{AB}{XY}= \frac{BC}{YZ}= \frac{AC}{XZ}$

we have

$AC=15\ units\\XZ=10\ units$

Find the ratio

$\frac{AC}{XZ}$

substitute the values

$\frac{15}{10}$

Simplify Divide by $5$ both numerator and denominator

$\frac{15}{10}=\frac{3}{2}$

therefore

the answer is

$\frac{3}{2}$