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 ABCD is similar to pool EFGH? quadrilaterals ABCD and EFGH Translate EFGH so that point F of EFGH lies on point B of ABCD, then dilate EFGH by the ratio segment EF over segment AB. Translate EFGH so that point E of EFGH lies on point A of ABCD, then translate EFGH so that point F of EFGH lies on point B of ABCD. Translate EFGH so that point E of EFGH lies on point A of ABCD, then dilate EFGH by the ratio segment AB over segment EF. Translate EFGH so that point F of EFGH lies on point B of ABCD, then translate EFGH so that point E of EFGH lies on point A of ABCD.

When an object is transformed to create another, the position and the size of the object may change. Point F on EFGH has to be translated to point B on ABCD, then dilated by a ratio of EF over AB.

Given that quadrilaterals ABCD and EFGH are similar:

The corresponding points on the quadrilaterals are:

[tex]A \to E[/tex]

[tex]B \to F[/tex]

[tex]C \to G[/tex]

[tex]D \to H[/tex]

So, the first step is any of the following:

Translate point A to E
Translate point B to F
Translate point C to G
Translate point D to H

Notice that the side lengths of ABCD are bigger than that of EFGH (see attachment).

This means that the ABCD has to be dilated (compressed) by a ratio of side lengths of EFGH divided by side lengths of ABCD.

Take for instance point F is translated to point B. The figure will then be dilated by a ratio of EF divided by AB.

Hence, (a) is correct.