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?

A. 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.

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.

C. 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.

D. 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.

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 class=

Respuesta :

Answer: A

Step-by-step explanation:

The shapes are obviously different sizes, so there needs to be a dilation. This eliminates C and D.

Then, we just need to determine the scale factor. In this case, the image of LMNO and the preimage is PQRS, and since scale factor is image/preimage, the scale factor would be LM/PQ.

Hence, the answer is A.