Question

What is the relationship between the segments PQ and P’Q’

Answer 1

Answer:

$\frac{PQ}{P'Q'}=2.5$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal

In this problem Triangles OQP and OQ'P' are similar by AA Similarity Postulate

so

$\frac{PQ}{P'Q'}=\frac{OP}{OP'}$

we have

$OP=12-2=10\ units$

$OP'=6-2=4\ units$

substitute

$\frac{PQ}{P'Q'}=\frac{10}{4}=2.5$