Translations review

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 $\triangle{XYZ}$triangle, X, Y, Z onto the blue triangle.

The result is a new figure, called the image. The image is congruent to the original figure.

A figure can be moved horizontally along the $x$x axis and vertically along the $y$y axis.

Translate $\triangle{LMN}$triangle, L, M, N $-4$minus, 4 units in the $x$x direction and $-2$minus, 2 units in the $y$y direction.

A translation of $-4$minus, 4 units in the $x$x direction results in a shift to the left by $4$4 units, and a translation of $-2$minus, 2 units in the $y$y direction results in a shift down by $2$2 units.

This translation maps $\triangle{LMN}$triangle, L, M, N onto the triangle below.

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