Question

(04.02 LC)

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

Two similar triangles ABC and PQR are shown. Triangle ABC has sides AB = c, BC = a, and AC = b. Triangle PQR has sides PQ = r,
Which ratio is equal to b:q? (1 point)


b:a

c:r

r:a

q:c

Answer 1

I hope this helps you

Answer 2

The correct option is 2.

Explanation:

It is given that triangle ABC is similar to triangle PQR.

In triangle ABC, AB=c, BC=a, and AC=b.

In triangle PQR, PQ=r, QR=p, PR=q.

The corresponding sides of similar triangles are proportional.

Since
`\triangle ABC\sim \triangle PQR`, therefore their corresponding sides are proportional.

`(AB)/(PQ)=(BC)/(QR)=(AC)/(PR)`

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

It meas the ratio c:r = a:p = b:q.

Therefore the correct option is 2.