Question

reflecting a point (5, 3) over the y-axis will place it at which coordinates?
a. (5, -3)
b. (-5, -3)
c. (-5, 3)
d. (5, 3)

Explanation:

Step1: Recall y-axis reflection rule

When reflecting a point $(x,y)$ over the y-axis, the x-coordinate is negated, while the y-coordinate stays the same: $(x,y) \to (-x,y)$.

Step2: Apply rule to given point

For the point $(5,3)$, substitute $x=5$ and $y=3$ into the rule: $(-5, 3)$.

Answer:

c. $(-5,3)$