Question

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 ? If the player moves the knight from (5, 1) to (6, 3), the translation made is?

Answer 1

A knight moves two squares to the right and one square up, resulting in a translation of +2 squares horizontally and -1 square vertically.

Step-by-step explanation:

In chess, a knight moves in an L-shape, either two squares horizontally and one square vertically, or two squares vertically and one square horizontally. To move from (3, 2) to (5, 1), the knight moves two squares to the right and one square up, resulting in a translation of +2 squares horizontally and -1 square vertically.

To move from (5, 1) to (6, 3), the knight moves one square to the right and two squares up, resulting in a translation of +1 square horizontally and +2 squares vertically.

Answer 2

Answer: 1 square down, 2 squares right

2 squares up, 1 square right

Step-by-step explanation: