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Problem 171

Geometry Difficulty 1.2 Multiple choice CEMC Gauss (Grade 8) · Canada · 2025

The point $(5, 7)$ is plotted on the graph shown.When $(5,7)$ is reflected in the $x$ -axis, the resulting point is

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Official solution

When the point $(5,7)$ is reflected in the $x$ -axis, the resulting point is $(5,-7)$ . When a point is reflected in the $x$ -axis, its $x$ -coordinate does not change and its $y$ -coordinate changes sign (provided that the original point is not on the $x$ -axis).

Figure for this problem

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