Write the coordinates of the vertices after a reflection over the line y=3?​

Answer:

L(4,-3)  -> L'(4,9)

M(4,3)  -> M'(4,3)

N(-4,3) -> N'(-4,3)

K(-4,-3) -> K'(-4,9)

Step-by-step explanation:

Reflection of an object means to flip that object on a line called the axis of reflection or line of reflection or mirror line.

Line of reflection here is y = 3

So, after a reflection over the line y = 3

Co ordinates

L' =  (4,9)

M' = (4,3)

N' = (-4,3)

K' = (-4,9)

Final answer:

A reflection over the line y=3 changes the y-coordinate of a point to 2*3 minus its original y-coordinate, keeping the x-coordinate the same.

Explanation:

To find the coordinates of the vertices after a reflection over the line y=3, one should understand that a reflection over a horizontal line, such as y=3, changes the y-coordinate of each point while keeping the x-coordinate the same. For instance, if you have a point (a, b), after reflecting over the line y=3, the new point would be (a, 2*3-b). This is because the difference between the y-coordinate of the point and the line of reflection (3 in this case) would be the same before and after reflection, but with a different sign.

For example, if you have a vertex at (2, 5), to find its new position after reflection, you would keep the x-coordinate (2) the same, and calculate the new y-coordinate as (2*3 - 5) = 1. So, the reflected vertex would be at (2, 1). Apply this same method to all vertices to find their new positions after reflection.

Learn more about Reflection over a Line here:

brainly.com/question/18376051

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