Question

b. (-4, 6)
● c. (4, -6)
○ d. (4, 6)

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 reflection over y - axis rule

The rule for reflecting a point \((x,y)\) over the \(y\) - axis is that the \(x\) - coordinate changes its sign and the \(y\) - coordinate remains the same. Mathematically, if we have a point \((x,y)\), after reflecting over the \(y\) - axis, the new point is \((-x,y)\).

Step2: Apply the rule to the given point

We are given the point \((5,3)\). Here, \(x = 5\) and \(y=3\). Using the reflection rule over the \(y\) - axis, we change the sign of \(x\) (so \(x\) becomes \(- 5\)) and keep \(y\) the same ( \(y = 3\)). So the reflected point is \((-5,3)\).

Answer:

d. \((-5,3)\)