Question

Using the transformation T: (x, y) (x + 2, y + 1), find the distance AB

Answer 1

@helpme1.2 @satellite73

Answer 2

distance formula \[\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\]

Answer 3

okay so you would do those transformations based on the coordinates right? Then by using the distance formula, you can figure out the distance between A and B. So I believe that transformation is a dilation. :)

Answer 4

so take the point of AB and plug it in the formula above and solve

Answer 5

Sorry, I was away from the computer. So I plug in (0,0) and (1,3)?

Answer 6

I don't understand!!! how does the question relate to the transformation??? If it is "find the distance A'B'" , It makes sense to me.
To find AB, we do nothing with the transformation :(

Answer 7

I have to use the transformation to get AB

Answer 8

A, B are given, no need to use transformation to get it, right? just apply distance formula!!

Answer 9

No.. I have A and B, but I need AB

Answer 10

ok, so I am sorry, I don't know !! @Luigi0210

Answer 11

Lol, no worries.

Answer 12

@nikato

Answer 13

Don't u just use the distance formula?

Answer 14

Wait, the original A and B, or the transformed one?

Answer 15

If original plug in (0,0) and (1,3)
If after transformation (2,1) and (3,4)

Answer 16

It tells me to use that transformation. :/ I thought I just had to plug in (0,0) (1,3) into the transformation. .-.

Answer 17

U could do that, but they also transformed it for u in the picture.

Answer 18

The letter with the apostrophe is the point after the transformation

Answer 19

I think it's the original one. (0,0) and (1,3)
If they told u to do the transformation, they would have told u to find the distance of A'B'

Answer 20

But... they DID tell me to find the distance of AB

Answer 21

Yes. And based on ur diagram
A=(0,0) B=(1,3) and now use the distance formula to find the distance

Answer 22

translations are isometries and preserve distance