Question

Given a scale factor of 2, find the coordinates for the dilation of the line segment with endpoints (-1, 2) and (3, -3).
a) (-2, 4) and (6, 6)
b) (2, 4) and (6, 6)
c) (-2, 4) and (6, -6)
d) (2, -1) and ( -3, 3)

Answer 1

@randomaccessmemory

Answer 2

2. Given a scale factor of \[\frac{ 1 }{ 2 }\] find the coordinates for the dilation of the triangle with vertices at (0, 0), (0, 2) and (4, 0).

Answer 3

ok so for number 1 wat do u know about dilation?

Answer 4

um... nothing actually. I ain't good at math so that's why I go to O.S.

Answer 5

Well isn't dilation making something smaller? (Mathematically)

Answer 6

ummm think about when u go to the eye doctor do they make your pupils biger or smaller?

Answer 7

bigger?

Answer 8

and what is that called?

Answer 9

I'm guessing dilation..?

Answer 10

so there you go you just learned something

Answer 11

Cool :D

Answer 12

I still don't understand the questions.

Answer 13

but they can also shrink you eyes at the eye doctor correct? yes. so same with math you can either make a polygon enlarged or u can reduce the size of it. following me so far?

Answer 14

Um yeah i'm getting it so far.

Answer 15

ok so when we talk about scale factors what does that mean to you?

Answer 16

Um... Ok that I still don't understand. Math isn't my strongest subject.

Answer 17

ok go here and come back and tell me what you think http://www.mathsisfun.com/definitions/scale.html

Answer 18

okay.

Answer 19

Well I saw the butterfly example :D The smaller it got the smaller the scale factor got.

Answer 20

ok did u also see the horse example?

Answer 21

Yeah.

Answer 22

does it make sense?

Answer 23

Not to me. It's still kinda confusing to me.

Answer 24

ok the scale is 1:10 which means it would take 10 little horses to make that one big horse followin me?

Answer 25

Now i'm understanding yeah.

Answer 26

ok good now with line segments wat do u know about those?

Answer 27

Actually nothing either.

Answer 28

Well im sure u know something. You see that line segments have a starting and ending point right?

Answer 29

Yes

Answer 30

ok good thats a start. now can you take what we talked about with scale factors and apply it to line segments

Answer 31

Idk it's so confusing to me. It's so hard for me to figure it out.

Answer 32

ok say that (-1,2) and (3,-3) is what you dilated by a scale factor of two would that make the segment bigger or smaller?

Answer 33

Smaller?

Answer 34

ok read this and then come back http://www.mathwarehouse.com/transformations/dilations/dilations-in-math.php

Answer 35

you only have to look at example 1 and 2

Answer 36

Yeah Ik. I read it btw.

Answer 37

ok good now im going to ask you again multiplying by a scale factor of 2 would make it bigger or smaller?

Answer 38

Bigger?

Answer 39

ok now look at this part of it

Answer 40

Okay. Now what?

Answer 41

that will help you answer you question all the other stuff at the beginning was just to make sure u understood what to do. now given a scale factor of 2, find the coordinates for the dilation of the line segment with endpoints (-1, 2) and (3, -3). all you have to do according to that little picture is multiply -1*2 and 2*2 to find the first point of the new segment

Answer 42

Oh. Ok lemme do that

Answer 43

:)

Answer 44

\[1\times2=2 and 2\times2=\]

Answer 45

oops i forgot to put 4

Answer 46

remember the points are (-1.2) not (1,2)

Answer 47

yea and a negative and positive = a negative correct?

Answer 48

yup

Answer 49

that means it'll = -2?

Answer 50

yup (-2,4) is the first point now try the same thing with (3,-3)

Answer 51

okay. I multiply 3*3?

Answer 52

it equals -9?

Answer 53

no u mulitply 3*2 and -3*2 to get the new points of (3,-3)

Answer 54

Alright.

Answer 55

\[3\times2=6 and -3\times2=-6\]

Answer 56

ok then so that makes it (6.-6) right?

Answer 57

yeah

Answer 58

ok so wat whould be the answer to your question?

Answer 59

The answer would be (-2, 4) and (6, -6) Correct?

Answer 60

ding ding ding ding

Answer 61

Omg thanks so much for the help! I finally understand it!!

Answer 62

:D took forever but im glad i helped you understand it

Answer 63

Lol yeah did take a while but i'm glad I finally understand it :)