## The Lesson

A translation moves a shape. Every point of the shape is moved in the same direction by the same distance. To translate a shape, we need to move each point in the shape in a certain direction by a certain distance. To simplify translating a shape, we break the translation down into:-
How far we move the shape in a
**horizontal**direction (left or right). -
How far we move the shape in a
**vertical**direction (up or down).

## Using a Column Vector to Translate a Shape

A column vector tells us how to translate a shape. A column vector shows two numbers, one above the other. An example of a column vector is shown below:-
The top number (4) tells us how much to move the shape in the
**horizontal**direction (right if the number is positive, left if it is negative). -
The bottom number (2) tells us how much to move the shape in the
**vertical**direction (up if the number is positive, down if it is negative).

## How to Translate a Shape

Translating a shape is easy.## Question

Translate the shape below using the column vector.## Step-by-Step:

Let us start by choosing a point on the shape and translating it. We will translate point**A**.

# 1

Find the top number in the column vector. In our example, the top number is

**4**.# 2

The number found in

**Step 1**(4) will tell us how to move point**A**in the**horizontal**direction. If the number is positive, the point is moved right. If the number is negative, the point is moved left. In our example, 4 is positive. Move point**A 4**units to the**right**.# 3

Find the bottom number in the column vector. In our example, the bottom number is

**2**.# 4

The number found in

**Step 3**(2) will tell us how to move the point in**Step 2**in the**vertical**direction. If the number is positive, the point is moved up. If the number is negative, the point is moved down. In our example, 2 is positive. Move the point**2**units**up**.**A**has been translated to to find

**A'**, the corresponding point on the translated shape. Repeat the

**Steps**for Points

**B**and

**C**.