Geometry Transformations

Geometry Translation

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)