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

The real answer is:

1 square down, 2 squares right

2 squares up, 1 square right

Answer 2

1)

When a knight was moved from (3, 2) to (5, 1) then the translation is:

(x,y) → (x+2,y-1)

i.e. it is moved 2 units to the right and 1 units down.

2)

If the knight is moved from (5, 1) to (6, 3).

The translation is:

(x,y) → (x+1,y+2)

i.e. it is moved 1 unit right and 2 units up.

Explanation:

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

This means that the knight is moved 2 units to the right and 1 units down.

( Since, when there is a change in the x-coordinate then it is either moved to the right or to the left and when there is a change in the y-coordinate then it is moved either up or down )

• Now, If the player moves the knight from (5, 1) to (6, 3).

Then it is moved 1 unit right and 2 units up.