Question

A pool company a pool and a similar dog new clientstatement explains the company can determine whether pool LMNO similar to pool PQRS?

Answer 1

Math

Answer 2

I think this is the original problem?

https://us-static.z-dn.net/files/d4a/59548ca5119f1a23e69e863c3987a5f7.png

Anyway, in order to prove the two shapes are similar, we need to dilate by some factor to show that the two shapes are congruent after some dilation. Translation, alone, will not do the trick. Therefore, that eliminates choices 3 and 4.

From there, if LMNO is congruent to PQRS, that means point P corresponds to point L, M corresponds to Q, etc. PQRS is the smaller shape, so we want to dilate it by a factor greater than 1.

Since LM and PQ are corresponding sides, LM/PQ gives the ratio of the larger shape to the smaller shape. Therefore, dilating PQRS by LM/PQ will scale up PQRS to match LM, thus proving similarity.