Step by step
The question
Question: translate the shape A(1, 1) and B(3, 1) right 2, up 3.
1 Draw the shape
Put the points on the grid and join them.
2 Read the move
Right 2 means x gets 2 bigger: x + 2.
Up 3 means y gets 3 bigger: y + 3.
So every point (x, y) goes to (x + 2, y + 3).
3 Move each point
Start at A.
Go right 2.
Then go up 3.
We land on the new point.
We call the new point A prime.
The little mark means: the new A.
A is (1, 1).
Right 2: 1 plus 2 is 3.
Up 3: 1 plus 3 is 4.
So A' is (3, 4).
Careful!
Right and left change x.
Up and down change y.
Do not mix them up.
Now B: 3 plus 2 is 5.
1 plus 3 is 4.
So B' is (5, 4).
4 Draw the image
Join the new points.
This new shape is called the image.
So the image is A'(3, 4) and B'(5, 4).
5 Check
Let's check.
Draw an arrow from each point to its new point.
All the arrows are the same: the same length, the same way.
So the shape slid, without turning.
Right!
Let's look back.
First: draw the shape.
Then: read the move.
Then: move each point.
Then: draw the image.
Last: check.