Question

A scale drawing of a baseball field is shown on the coordinate plane, where home plate is at (3, 3) , first base is at (13, 3) , second base is at (13, 13) , and third base is at (3, 13) b. describe a rotation that will map the bases onto one another. any rotation of a multiple of �� about the point (,).

Answer 1

A rotation of 90 degrees around the point (8, 8) on the coordinate plane will map the bases of a baseball field onto each other, since it is the center of the square formed by the bases.

Step-by-step explanation:

A rotation that will map the bases of the baseball field onto one another can be described using the coordinate plane. Considering home plate at (3, 3), first base at (13, 3), second base at (13, 13), and third base at (3, 13), a rotation of 90 degrees clockwise or counterclockwise around the point (8, 8) will map each base onto the next one sequentially. This point (8, 8) is the center of the square formed by the four bases, allowing for this even distribution upon rotation.

To visualize this, imagine the point (8, 8) as the pivot point. With every 90 degrees of rotation, the coordinates shift in a circular pattern: home plate to first base, first base to second base, second base to third base, and third base back to home plate.