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Geometry Difficulty 1.3 Junior Find the answer Canada

If the point $Q(4,2)$ is
shifted left $5$ units and then down
$6$ units, the result is point $R$ . What are the coordinates of $R$ ?

Pick one

Solution

When a point $(x,y)$ is
shifted left $5$ units, the
coordinates of the resulting point are $(x-5,y)$ .

Thus when $Q(4,2)$ is shifted left
$5$ units, the coordinates of the
resulting point are $(-1,2)$ .

When a point $(x,y)$ is shifted down
$6$ units, the coordinates of the
resulting point are $(x,y-6)$ .

Thus when $(-1,2)$ is shifted down
$6$ units, the coordinates of the
resulting point are $R(-1,-4)$ .

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.