Friday, 13 May 2016

Transformations and enlargements

Transformations and enlargements

If we translate an object, we move it up or down or from side to side. But we do not change its shape, size o<
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Using vectors to describe translations

The line AB has been translated 4 units to the right and 2 units upwards. We say that the displacement vector is Equation: begin{pmatrix}4\2end{pmatrix} .
Graph showing line AB translated 4 units right and 2 units upwardsGraph showing line AB translated 4 units right and 2 units upwards
We always write the horizontal displacement at the top of the vector and the vertical displacement at the bottom.
A move downwards or to the left is indicated by a - sign:
Graph showing horizontal and vertical displacementGraph showing horizontal and vertical displacement
The object X has been translated by the vector Equation: begin{pmatrix}-2\-3end{pmatrix} to give its imager direction.

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