Question

It is the same distance from second base to first base, and from second base to third base. The angle formed by first base, second base, and home plate has the same measure as the angle formed by third base, second base, and home plate. What can you conclude about the distance from first base to home plate, and from home plate to third base? Explain. ...?

Answer 1

The distances are equivalent; the distances from first to second base and second to third base are the same value, the angles formed by first and second base and home plate are the same degree as third and second base and home plate. The two angles are complementary adjacent angles, meaning they share the same side and vertex and equal 90°. This information can be used to infer that we are identifying a square, so the distance from first to home and home to third must be equivalent, as squares have the same length for each side.