Question

Triangle ABC is similar to triangle PQR, as shown below:


Which ratio is equal to r:c?

A. c:p

B. p:a

C. r:a

D. q:c

Answer 1

rotate the triangles so r and c line up

 when you do that Q=B, a=p, C=R, b=q, A=P

 so answer would be B. p:a

Answer 2

we know that

If triangle ABC is similar to triangle PQR

then

the corresponding sides are proportional

so

$\frac{RQ}{CB} =\frac{RP}{AC}= \frac{PQ}{AB}$

substitute the values

$\frac{p}{a} =\frac{q}{b}= \frac{r}{c}$

therefore

$\frac{r}{c}$

is equal to

$\frac{q}{b}$ and $\frac{p}{a}$

the answer is the option B

$\frac{p}{a}$