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Mathematics 6 Online
OpenStudy (anonymous):

I need help on some geometry questions.

OpenStudy (anonymous):

Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image M′N′O′P′Q′. The coordinates of point M are (2, 4), and the coordinates of point N are (3, 5). What is the slope of M′N'?

OpenStudy (baseballguy101):

do you now how to find slope?

OpenStudy (anonymous):

No, I do not.

OpenStudy (baseballguy101):

ok so you would use the formula y2-y1 over x2-x1. do you see how to plug that in?

OpenStudy (anonymous):

Isn't that how you find distance between two points, not slope?

OpenStudy (baseballguy101):

no distance formula is different. slope can also be rise over run if you want to graph it

OpenStudy (anonymous):

I am.. very confused.

OpenStudy (baseballguy101):

here ill set it up for you

OpenStudy (anonymous):

Alright..

OpenStudy (baseballguy101):

so well start with this. you have 2 points M (2,4) and N (3,5). plugging these into the formula you would get 3-2 over 5-4

OpenStudy (baseballguy101):

can you get it from there? It's just simplifying from here

OpenStudy (anonymous):

I really don't understand. This subject is my absolute worst.

OpenStudy (baseballguy101):

haha it takes time to understand geometry is a killer. I'll graph it for you one second

OpenStudy (anonymous):

Thank you. c:

OpenStudy (baseballguy101):

almost done sorry its taking so long

OpenStudy (anonymous):

It's quite alright!

OpenStudy (baseballguy101):

OpenStudy (anonymous):

pretty sure it going to small than the original

OpenStudy (anonymous):

So the answer is one? I'm very confused. I am not at all good at this stuff.

OpenStudy (baseballguy101):

yes, is it multiple choice? it may show as 1 over 1

OpenStudy (anonymous):

is there any answer choices?

OpenStudy (anonymous):

Nope. :( It's one of those fill in the blank things.

OpenStudy (anonymous):

Do I just put the answer as 1 and move on to the next question?

OpenStudy (anonymous):

sorry i dont know this

OpenStudy (anonymous):

very well

OpenStudy (baseballguy101):

ok if you graph it it makes these twice as easy. You just look at hte two points and look how far up or down the y axis goes that is your rise. to find the run look how far the x axis goes left or right. after finding that you just simplify the fraction giving you the slope

OpenStudy (baseballguy101):

yes it would be 1

OpenStudy (anonymous):

That makes some sense.

OpenStudy (baseballguy101):

ok good!

OpenStudy (anonymous):

Are you okay with helping me on a few more?

OpenStudy (baseballguy101):

sure

OpenStudy (anonymous):

Polygon XYZW is dilated by a scale factor of 2 with point T as the center of dilation, resulting in the image X′Y′Z′W′. If point T lies on YZ¯¯¯¯¯, what can be said about Y'Z'¯¯¯¯¯¯¯ ? A) Y'Z'¯¯¯¯¯¯¯ passes through point T but has a different slope than YZ¯¯¯¯¯. B) Y'Z'¯¯¯¯¯¯¯ passes through point T and has the same slope as YZ¯¯¯¯¯ . C) Y'Z'¯¯¯¯¯¯¯ does not pass through point T but has the same slope as YZ¯¯¯¯¯. D) Y'Z'¯¯¯¯¯¯¯ does not pass through point T and has a different slope than YZ¯¯¯¯¯.

OpenStudy (anonymous):

I think it's A, but I am not sure.

OpenStudy (baseballguy101):

hmm the slope wouldnt change so its not a or d

OpenStudy (anonymous):

Oh. B then?

OpenStudy (baseballguy101):

it's b because it would still go through point t it will just have a longer line

OpenStudy (anonymous):

Ooh, okay, thank you. The next one I have to take a screenshot of.

OpenStudy (anonymous):

Here we go. :)

OpenStudy (baseballguy101):

you can do this! look at what i said earlier. so start by looking at the points how far down does the y axis go from point c to d?

OpenStudy (anonymous):

I.. uh.. uhm.. I.. I'm so confused on what to find.

OpenStudy (anonymous):

From C to D I know you go down two and left one but.. ?

OpenStudy (baseballguy101):

here ill draw it our again

OpenStudy (baseballguy101):

wait yeah that all you need! so simplify -2/-1 and what do you get?

OpenStudy (baseballguy101):

i didn't see you replied

OpenStudy (anonymous):

I have no clue.. it's -3?

OpenStudy (baseballguy101):

you just divide -2 by -1 lol

OpenStudy (anonymous):

divide? really?

OpenStudy (baseballguy101):

yeah! once you do it a few times it comes easy

OpenStudy (anonymous):

Positive 2?

OpenStudy (baseballguy101):

yes so you're answer would be 2

OpenStudy (baseballguy101):

do you understand how to find slope now?

OpenStudy (anonymous):

Sorta.

OpenStudy (baseballguy101):

what are you confused on?

OpenStudy (anonymous):

I mean, I'm kinda stubborn on learning things and I forget equations easy.

OpenStudy (anonymous):

Rectangle ABCD is dilated by a scale factor of 2 with the origin as the center of dilation, resulting in the image A′B′C′D′. If the slope of AB¯¯¯¯¯ is -2, what is the slope of A'B'¯¯¯¯¯¯ ? A) -4 B)-1 C) -2 D) 0

OpenStudy (baseballguy101):

when you change the scale factor of a shape the slope wont change so the slope remains -2

OpenStudy (anonymous):

Hmm.. okay, thank you.

OpenStudy (baseballguy101):

no problem, glad to help!

OpenStudy (anonymous):

Yay, I passed!

OpenStudy (baseballguy101):

good job you didn't get any of these wrong right?

OpenStudy (anonymous):

You got them all right. I shall show proof, one moment.

OpenStudy (anonymous):

OpenStudy (baseballguy101):

looks good

OpenStudy (anonymous):

Wanna help me with one I've been stuck on forever? Lol. I can open a new topic and give you more medals that way?

OpenStudy (baseballguy101):

medals don't matter to me lol but sure

OpenStudy (anonymous):

They make you more trust worthy. :) Will close this and open a new topic.

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