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Geometry Difficulty 1.4 Junior Find the answer Canada

In the diagram, the point $P(2, 3)$ is reflected in the $x$ -axis and then moved $3$ units left. What are the coordinates of
the resulting point?

IMG0

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Solution

When a point $(x,y)$ is reflected in the $x$ -axis, the resulting point has coordinates $(x,-y)$ . Thus when $P(2,3)$ is reflected in the $x$ -axis, the resulting point has coordinates $(2,-3)$ . When a point $(x,y)$ is moved $3$ units left, the resulting point has coordinates $(x-3,y)$ . Thus when $(2,-3)$ is moved 3 units left, the resulting point has coordinates $(-1,-3)$ .

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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.