Question

A chess player moves a knight from the location (3,2) to (5,1) on a chessboard. If the bottom-left squared 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

1. A chess player moves a knight from the location (3,2) to (5,1) on a chessboard.This means that

(3,2)→(5,1).

the translation rule is

(x,y)→(x+2,y-1) or in words 2 units right and 1 unit down.

2. If the player moves the knight from (5, 1) to (6, 3), then the translation is

(5,1)→(6,3)

and the rule is

(x,y)→(x+1,y+2).

This is translation 1 unit right and 2 units up.

Answer 2

First translation: 2 units to the right and 1 unit down.

Second translation:1 unit to the right and 2 units up