# Defining Translations

- Author:
- kathleenh

- Topic:
- Translation

## Move points A, B, C to change the shape of the triangle. Move point Q to change the size of vector PQ. Select or unselect 'Vectors' and 'Slope' boxes to see the vectors and slope.

## Question 1

*Move point Q so that it is on top of point P. *
**What do you notice?**

## Question 2

*Starting from (0, 0), move point Q three units left and two units up.*
**What happens to A'B'C'? What is the algebraic description for this transformation.**

## Question 3

**What is true about the directed line segments AA', BB' and CC'?**

## Question 4

**Write a precise definition for a translation, using the following words or objects:
**

**Point A****Point A'****Directed line segment PQ****Directed line segment AA'****Parallel****Direction****Length**

## Question 5

**Which of the following are properties of the translated triangle A'B'C'?**