Question

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

Explain in terms of similar triangles.

Answer 1

`(PQ)/(P'Q')=2.5`

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

`(PQ)/(P'Q')=(OP)/(OP')`

we have

`OP=12-2=10\ units`

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

substitute

`(PQ)/(P'Q')=(10)/(4)=2.5`