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

we know that

If triangle ABC is similar to triangle PQR

then

the corresponding sides are proportional

so

`(RQ)/(CB) =(RP)/(AC)= (PQ)/(AB)`

substitute the values

`(p)/(a) =(q)/(b)= (r)/(c)`

therefore

`(r)/(c)`

is equal to

`(q)/(b)` and
`(p)/(a)`

the answer is the option B

`(p)/(a)`

Answer 2

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