BECE Mathematics 2020 Paper

The rule for $y$-axis reflection is $(x, y) \rightarrow (-x, y)$, thus reflection in the $y$-axis, the $x$ is negated.$\Rightarrow (-2,3)$ reflected in the $y$-axis will be $-(-2), 3$ but $--=+$, hence $(2,3)$A reflection is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane. When reflecting a figure in a line or in a point, the image is congruent to the preimage.A reflection maps every point of a figure to an image across a fixed line. The fixed line is called the line of reflection.Some simple reflections can be performed easily in the coordinate plane using the general rules below. Reflection in the $x$-axis:A reflection of a point over the $x$-axis is shown.The rule for a reflection over the $x$-axis is $(x, y) \rightarrow (x,-y)$, thus reflection in the $x$-axis, the $y$ is negated. Reflection in the $y$-axis:A reflection of a point over the $y$-axis is shown.The rule for a reflection over the $y$-axis is $(x, y) \rightarrow (-x, y)$, thus reflection in the $y$-axis, the $x$ is negated. Reflection in the line $y=x$ :A reflection of a point over the line $y=x$ is shown.The rule for a reflection in the line $y=x$ is $(x, y) \rightarrow (y, x)$, thus you simply switch their positions.Reflection in the line $y=-x$ :A reflection of a point over the line $y=-x$ is shown.The rule for a reflection in the origin is $(x, y) \rightarrow (-y,-x)$, thus you simply negate the result of $y=x$.