The park also has a smaller baseball field for younger players. The transformation \((x,y) \rightarrow (\frac{\text-2}{3}x, \frac{\text-2}{3}y)\) takes the larger field to the smaller field.

1. Find the coordinates of the bases on the smaller field.

2. Describe the transformation. Does this transformation result in a figure which is congruent to the original, similar to the original, or neither?

1. Write an equation for the line that includes home plate at \((38, 0)\) and second base at \((81.6, 119.6)\).
2. The pitcher’s mound is located at \((58.7, 56.8)\). Is the pitcher’s mound on this same line? Explain your reasoning.

The pitcher’s mound is located at \((58.7, 56.8)\). Find the distance from the pitcher’s mound to:

1. home plate, \((38, 0)\)
2. second base, \((81.6, 119.6)\)