Translation

Translation describes the process of moving a shape without rotating, reflecting or resizing it.
 * __What is Translation?__**

Shapes or objects are translated by moving each point of the object by the same distance and angle or by the same distance in the x direction and the same distance in the y direction.
 * __How Do We Translate an Object?__**

In the picture above we can see that the washed out shape has been translated by shifting each point 4 units at an angle of 45 degrees from the direction of the x axis, resulting in the orange shape.
 * __Distance and Angle Translation__**

__**X and Y Translation**__  In the above picture, the purple triangle has been translated to give us the blue triangle by shifting each point on the triangle 4 units in the x direction and -9 units in the y direction. We can tell this as each of the points has been moved 4 units to the right and 9 units down. Movements to the right or up are recorded as positive numbers and movements to the left or down are recorded as negative numbers.

We would use vector notation to describe this translation: 

The top number represents the translation in the x direction and the bottom number represents the translation in the y direction.