BECE Mathematics 2021 Paper

Concept:A rotation of $360^\circ$ about the origin is one complete turn.So every point returns to its original position after the rotation.Explanation:The given point is $p(-3,5)$.Here, $x = -3$ and $y = 5$.For a $360^\circ$ rotation about the origin, the coordinate rule is:$$(x,y) \rightarrow (x,y)$$This means the image of the point is the point itself.Applying the rule to $p(-3,5)$:$$(-3,5) \rightarrow (-3,5)$$Thus, the point does not change after a full rotation of $360^\circ$.Looking at the options, this matches option C.Answer:The image of $p(-3,5)$ is $(-3,5)$.Therefore, the correct option is C.