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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 STUV is similar to pool WXYZ?

A. Translate WXYZ so that point W of WXYZ lies on point S of STUV, then translate WXYZ so that point X of WXYZ lies on point T of STUV.
B. Translate WXYZ so that point X of WXYZ lies on point T of STUV, then dilate WXYZ by the ratio.
C. Translate WXYZ so that point X of WXYZ lies on point T of STUV, then translate WXYZ so that point W of WXYZ lies on point S of STUV.
D. Translate WXYZ so that point W of WXYZ lies on point S of STUV, then dilate WXYZ by the ratio.

Answer :

Final answer:

To determine whether pool STUV is similar to pool WXYZ, the company should translate and align the corresponding vertices of the two pools.

Explanation:

The statement that explains how the company can determine whether pool STUV is similar to pool WXYZ is:

Translate WXYZ so that point W of WXYZ lies on point S of STUV, then translate WXYZ so that point X of WXYZ lies on point T of STUV.

By translating and aligning the corresponding vertices of the two pools, the company can determine if they have the same shape and size. If all the corresponding vertices of WXYZ line up with those of STUV, then the pools are similar, indicating that their shapes are the same.

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