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Maths

Transformations

Transforming an object means changing its appearance. There are many ways to do this, but we are going to concentrate on just four of them.

In each of these sections, we refer to the original shape as the object and the transformed shape as the image.

Translations

If we translate an object, we move it up or down or from side to side. But we do not change its shape, size or direction.

Question

Which of the following triangles (P, Q or R) is a translation of triangle ABC?

image: a graph with 4 triangles plotted

toggle answer

Answer

Q is a translation of triangle ABC. Triangle ABC has been translated 3 squares to the right and 2 squares up.

P is not a translation of triangle ABC because the object and its image are facing in opposite directions.

R is not a translation of triangle ABC because the object and its image have different side lengths. They are different shapes.

Remember

When we translate an object, every vertex (corner) must be moved in the same way.

Example:

image: a graph with 2 triangles plotted

Triangle PQR has been translated 3 squares down and 4 squares to the right. All of the vertices have been translated in the same way, and the object and its image are exactly the same shape and size.

Back to Shape, space and measures index

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