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 2 squares up, 1 square right1 square down, 2 squares left1 square down, 2 squares right2 squares down, 1 square right. If the player moves the knight from (5, 1) to (6, 3), the translation made is 1 square up, 1 square right2 squares up, 1 square right4 squares up, 2 squares right2 squares up, 1 square left.

Answer 1

The answer is below

Explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.

Translation is the movement of a point either up, down, right or left in the coordinate plane. If a point A(x, y) is moved a units up and b units right, then the new point is at A'(x + b, y + a).

Given that the knight is moved from (3, 2) to (5, 1), hence it is moved 2 squares right and 1 square down.

If the knight is moved from (5, 1) to (6, 3), it is moved 1 square right and 2 squares up.