Question

What are the coordinates of the image of point K(1, 3) after a reflection over the line y = –1?
A(1, –3)
B(–3, 3)
C(0, 3)
D(1, –5)

Answer 1

First step. Find out how far point (1,3) is from line y = -1.
Hint: You can graph it, or you can use the y-value of the coord to find out

Answer 2

i dont know how to do that

Answer 3

Take the y-value (3) and subtract the reflection from it to find the distance between them. Make sure to take the absolute value, since there is no such thing as negative distance.
|3 - (-1)| = |3 + 1| = 4

Answer 4

So it would be 1,4?

Answer 5

So 4 is the distance between the point and the reflection line. That means that there has to be a distance of 4 between the reflection line and the reflected point. So, to find the reflection line, add 4(2) to the y-value of the original coord (1,3)

Answer 6

no, it wouldn't be (1,4)
Do this:

(1,3 + 4(2)) --> (1, 3 + 8) --> (1, ?)
Can you tell me what the reflected coord is?