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(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

(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 = class=

Verified Answer :

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Answer:

The correct option is 2.

Step-by-step 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.

\(\frac{AB}{PQ}=\frac{BC}{QR}=\frac{AC}{PR}\)

\(\frac{c}{r}=\frac{a}{p}=\frac{b}{q}\)

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

Therefore the correct option is 2.

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