Question

I'm in Geometry and I'm having hard time understanding reflection...
A(6,4) B(-2,1) C(5,0) and I have to reflect to R x=4.
It said answer is A'(2,4) B'(10,1) C'(3,0)... I have no idea how come they have this number... Please help meeee

Answer 1

So when reflected over the axis of x=4 which is reflected an image of a vertical line like this

Answer 2

So when you reflect it over count how many each dot is from the line and then put the dot that many away from the line on the opposite side. Like this

Answer 3

I hope that makes sense.

Answer 4

ahh...soo.....hm..... how did it change x-axis?

Answer 5

Well the x-axis didn't change.
When you graph something like x= a number. It's a line the start at that number and goes straight up and down.
Whereas if you had to reflect something over something like y= a number. It would start at that number and be a line that is straight let and right. The actual axis itself though never changes place.

Answer 6

Notice the blue line I drew? That is the line that you reflected it over.

Answer 7

oh~so I understand the how it start at 4, but how you know other number? like how -2 reflect to 10?

Answer 8

Well how many units is -2 from 4?
6 units so if we reflected it over the line it would 6 units starting from the blue line to the right since -2 is on the left side of the line.
So since the line is at 4, 6 units to the right of 4 is 10.

Answer 9

oohhhhhh i got it nowwww Thank you!!

Answer 10

Great glad I could help! If you need anymore help just ask! But tomorrow because 1:30 am is for sure bedtime especially when the baby doesn't sleep well sometimes lol!