A translation is an isometry that moves a shape by sliding it up, down, sideways or diagonally. without turning it or making it bigger or smaller.
ABC has been translated to A'B'C' by moving 4 squares to the right and the 2 squares up. This translation is written as a vector
Sometimes we just want to write down the translation, without showing it on a graph.
If we want to say that the shape gets moved 3 units in the "x" direction and 4 units in the "y" direction, we can write:
(x,y) (x+3,y+4)
This says "all the x and y coordinates will become x+3 and y+4"
Find the new image of triangle ABC using the translation:
Solution:
A(1,1) A'(1,-4)
B(6,5) B'(4,8)
C(7,1) C'(5,4)
Write a rule to describe the translation:
Let's see that Y(4,1) Y'(-6,-2)
Then, the rule is:
(x,y) (x - 10, y - 3)
