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Problem 162

Geometry Difficulty 1.4 Multiple choice CEMC Pascal · Canada · 2026

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?

Pick one

Official 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 $(-1,-3)$ .

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