# Translations of Polygons

- Author:
- John Donnelly, Steve Phelps

- Topic:
- Polygons, Translation

## Direct Isometries

Translations and rotations are

*direct isometries*. If you read the names of the vertices in cyclic order (A-B-C and A'-B'-C'), both would be read in the counterclockwise (or clockwise) direction.## Translating a Triangle

## Question 1

Click point B on the triangle above. Drag it 3 points to the RIGHT and 1 point UP. (x, y) --> (x + 3, y + 1). Write the coordinates for A', B', and C' below:

## Question 2

Click point B' on the triangle above. Drag it to the point (2, -1). Which translation below accurately describes the translation between Triangle ABC and Triangle A'B'C'?

## Question 3

Drag B' above so that it is once again at point (0, 0). Now perform the following transformation: (x, y) --> (x - 1, y + 3) Write the coordinates for A'B'C' below: