Question

Point (-5,2) is reflected over the y-axis. Where is the new point located?
A. (5,-2)
B. (-5,-2)
C. (5,2)
D. (-5,2)​

Answer 1

Answer:

C

Step-by-step explanation:

When we reflect over the y-axis, the x coordinate changes its sign, and the y coordinate remains the same.

It follows this:

(x,y)-->(-x,y)

To reflect this point:

(-5,2)

Simply change the x coordinate sign

The x coordinate is -5, and when we change the sign, we get 5

-5--> 5

The y coordinate stays the same, so our new point is:

(5,2)

Therefore, it is choice C

Answer 2

The coordinates of the new point after the reflection over $y$-axis is $(5,2)$.

So, option $C$ is correct.

When a point is reflected over the $y$-axis, the value of $y$ coordinate remains the same and the sign of the value of $x$-coordinate changes.

$(x,y)$ becomes $(-x,y)$.

In the point $(-5,2)$.

$-5$ will become $5$ and $2$ will remain $2$.

So, the new point is $(5,2)$.

Therefore, option $C$ is correct.

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