Question

P--> P'(–4, –7) for the glide reflection where the translation is (x, y) (x, y –4) and the line of reflection is x = –1. What are the coordinates of P?
@StudyGurl14 @Data_LG2

Answer 1

Okay, first step. Find out how far point (-4,-7) is from x = -1

Answer 2

Okay, can you help me with that? I am still a little confused on it.

Answer 3

Okay, since it is x = -1, you use the x-value of the coordinate. You basically want to find the distance between x = -4 and x= -1

Answer 4

Can you do that?

Answer 5

Umm, I believe so.
It would be -4, right?

Answer 6

Not quite...
|-4 - (-1)| = |-4 + 1| = |-3| = ?
(you have to take absolute value because there is no such thing as negative distance)

Answer 7

So it would be 3?

Answer 8

Yep. That means there are three units between points (-4, -7) and the reflection line x=-1. That also means that must be three units on the other side, between the reflection line and the reflected point. So that means double the distance (3) between the original point and the reflected point.
So what we do is add 3(2) to the x-value of the coord. Can you do that?

(this method may seem more involved, but it is good to know in case you don't have a graph handy or you don't want to draw it out)

Answer 9

Its 6

Answer 10

Right. So add 6 to just the x-coord of point (-4, -7)q

Answer 11

ignore the q

Answer 12

(2,-1)

Answer 13

If thats the answer, thats not one of the answers choices...

Answer 14

We're not done. We have to do the translation part now.

Answer 15

Ohh okay. How do we do that.

Answer 16

and it's not (2,-1) either

Answer 17

Add 6 to JUST the x-coord. So (2, -7)

Answer 18

The translation rule is y - 4. So, if you follow what happened last time...we add 4 to the y-coord.

Answer 19

So (2,-4)?

Answer 20

(2, -3)
(-7 + 4 = -3)

Answer 21

I meant (2, -3)
Opps

Answer 22

@Data_LG2 Does this look okay to you?

Answer 23

yeah! :D purrty purrfect !

Answer 24

Okay, I have a few more questions. I will tag you guys! :)

Answer 25

:)