Question

In checkers, pieces move diagonally. The board shows a move with two consecutive jumps. Write a composition of translations for the move. Then rewrite the composition as a single translation that moves the piece from its original position to its ending position.

Answer 1

Answer:- The composition of translation is :

Translation: (x,y)→(x-2,y+2)   [as the given piece moved 2 steps to the left and 2 steps upwards]

Translation:(x,y)→(x+2,y+2)   [as the given piece moved 2 steps to the right and 2 steps upwards]

A single translation that moves the piece from its original position to its ending position is  [ignoring the diagonal movement]

Translation:-(x,y)→(x,y-4)[as piece have to go 4 steps downwards]