BECE Mathematics 2025 Paper

Concept:Reflection in the $x$-axis: $(x, y) \rightarrow (x, -y)$. The point moves to the other side of the $x$-axis at the same distance, so the $x$-coordinate stays and the $y$-coordinate changes sign.Solution:The point is $(-2, 3)$: $x = -2$, $y = 3$.$x$-coordinate stays: $-2$$y$-coordinate changes sign: $3 \rightarrow -3$Image $= (-2, -3)$Key point: Reflection in the $y$-axis would give $(2, 3)$. Options A and B swap the coordinates, which a reflection in the $x$-axis never does.Answer:Option C ($(-2, -3)$)