Final answer:
The statement about the baseball field is true; home plate and the three bases form a square, with each side measuring 60 feet in little league baseball.
Step-by-step explanation:
The statement that home plate and the three bases on a little league baseball field are the vertices of a square with each side having a regulation length of 60 feet is true. According to the rules of baseball, the diamond or infield is a 90-degree square. Each side of the square, from base to base, measures exactly 60 feet in little league baseball. This configuration forms a perfect square, where the distance from home plate to first base is the same as from first base to second base, second to third, and third back to home.
The dimensions and shape of a little league baseball infield align with the principles of geometry. In a square, all sides are of equal length, which in this case is 60 feet. So, the distance from home plate to first base (60 feet) is the same as the distance from first to second base, from second to third base, and from third base back to home plate, confirming that the infield is indeed a square.