Question

A pool company is creating a blueprint for a family pool and a similar dog pool for a new client. Which statement explains how the company can determine whether pool LMNO is similar to pool PQRS?
Translate PQRS so that point P of PQRS lies on point L of LMNO, then dilate PQRS by the ratio segment LM over segment PQ.
Translate PQRS so that point Q of PQRS lies on point M of LMNO, then dilate PQRS by the ratio segment PQ over segment LM.
Translate PQRS so that point P of PQRS lies on point L of LMNO, then translate PQRS so that point Q of PQRS lies on point M of LMNO.
Translate PQRS so that point Q of PQRS lies on point M of LMNO, then translate PQRS so that point P of PQRS lies on point L of LMNO.

Answer 1

The statement that explains how the company can determine whether pool LMNO is similar to pool PQRS is;

B. Translate PQRS so that point Q of PQRS lies on point M of LMNO, then dilate PQRS by the ratio segment PQ over segment LM.

How to carry out Transformations?

Given that quadrilaterals ABCD and EFGH are similar:

The corresponding points on the quadrilaterals are:

P → L

Q → M

R → N

S → O

So, the first step is any of the following:

Translate point P to L

Translate point Q to M

Translate point R to N

Translate point S to O

Notice that the side lengths of PQRS are bigger than that of LMNO

This means that the Quadrilateral PQRS has to be dilated (compressed) by a ratio of side lengths of LMNO divided by side lengths of PQRS

For example, the point M is translated to point Q. The figure will then be dilated by a ratio of LM divided by PQ.

Read more about Transformations at; brainly.com/question/4289712

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