Review the basics of translations, and then perform some translations.

What is a translation?

A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
This translation maps XYZ\triangle{XYZ} onto the blue triangle.
The result is a new figure, called the image. The image is congruent to the original figure.
Want to learn more about different types of transformations? Check out this video.

Performing translations

A figure can be moved horizontally along the xx axis and vertically along the yy axis.
Example:
Translate LMN\triangle{LMN} 4-4 units in the xx direction and 2-2 units in the yy direction.
A translation of 4-4 units in the xx direction results in a shift to the left by 44 units, and a translation of 2-2 units in the yy direction results in a shift down by 22 units.
This translation maps LMN\triangle{LMN} onto the triangle below.
Want to learn more about performing translations? Check out this video.

Practice

Want to try more problems like this? Check out this exercise.