Question

Representing Transformations in a Plane: Mastery Test

A chess player moves a knight from the location (3, 2) to (5, 1) on a chessboard. If the bottom-left square is labeled (1, 1), the translation made is:
a) 1 square down, 2 squares right
b) 1 square up, 1 square right
c) 4 squares up, 2 squares right
d) 2 squares up, 1 square left

Answer 1

The chess player moved 2 squares to the right and 1 square down on the chessboard.

Step-by-step explanation:

The translation made by the chess player from the location (3, 2) to (5, 1) on the chessboard can be determined by finding the change in the x-coordinate and the change in the y-coordinate. In this case, the change in the x-coordinate is 5 - 3 = 2, and the change in the y-coordinate is 1 - 2 = -1. Therefore, the translation made is 2 squares to the right and 1 square down.