# Translate Triangles on a Coordinate Grid

In this worksheet, students will translate triangles on a coordinate grid.

Key stage:  KS 2

Curriculum topic:   Geometry: Position and Direction

Curriculum subtopic:   Draw/Translate Shapes

Popular topics:   Geometry worksheets

Difficulty level:

#### Worksheet Overview

Look at the following L-shapes drawn on a set of coordinate axes.

Shape A has been translated, or shifted, to land on shape B.

This has been done by moving each point 5 squares to the right and 2 squares up.

When we move to the right, we add to the x-coordinate.

When we move to the left, we subtract from the x-coordinate.

When we move up, we add to the y-coordinate.

When we move down, we subtract from the y-coordinate.

Look at the corner at (-1, -5)

We moved 5 squares to the right, so we add 5 to the x-coordinate to get -1 + 5 = 4

We moved 2 squares up, so we add 2 to the y-coordinate to get -5 + 2 = -3

This gives the corner of the translated point at (4, -3)

Notice that in translations, the shapes are not rotated or reflected.

They stay the same way up, but are just in a different place on the grid.

Example

Look at the triangles on this coordinate grid.

On which triangle does triangle B land when it is translated:

3 squares to the right and 1 square up

Move each corner of triangle B 3 squares to the right and 1 square up and it will land on triangle C.

Ready to have a go at some questions now?

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