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

Explain in terms of similar triangles.

What is the relationship between the segments PQ and PQ Explain in terms of similar triangles class=

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calculista

Answer:

[tex]\frac{PQ}{P'Q'}=2.5[/tex]

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

[tex]\frac{PQ}{P'Q'}=\frac{OP}{OP'}[/tex]

we have

[tex]OP=12-2=10\ units[/tex]

[tex]OP'=6-2=4\ units[/tex]

substitute

[tex]\frac{PQ}{P'Q'}=\frac{10}{4}=2.5[/tex]

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