rayman5766
  • rayman5766
The vertices of a trapezoid are shown below. (0, 8), (6, 16), (6, 12), (0, 16) Which of the following points is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2 ? A. (2, 18) B. (12, 24) C. (0, 4) D. (4, 3)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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rayman5766
  • rayman5766
can any one help me
rayman5766
  • rayman5766
@Nnesha hey are you get with math becaues i need your help if you are
rayman5766
  • rayman5766
hey mathmate can you helpme wit this problem

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More answers

mathmate
  • mathmate
@rayman5766 If you want help, please proof-read your post. Casually copied and pasted posts discourage helpers.
rayman5766
  • rayman5766
oops sorry bot that its 1/2
rayman5766
  • rayman5766
i for got to typed that in hold on
mathmate
  • mathmate
Are you familiar with dilations?
rayman5766
  • rayman5766
yes
mathmate
  • mathmate
A dilation with a factor of 1/2 will make the figure bigger or smaller?
rayman5766
  • rayman5766
bogger i would hope
mathmate
  • mathmate
A dilation factor of 2 will make the figure twice as big as the original, a dilation factor of 3 will make the figure three times as big as the original, So rethink for a factor of 1/2!
rayman5766
  • rayman5766
oh i think i see so the figure would be smaller i guess
mathmate
  • mathmate
So do we agree that a scale factor of more than one will make the image bigger, and a scale factor of less than one will shrink the image (even it's called dilation).
rayman5766
  • rayman5766
yes we can
mathmate
  • mathmate
Good! So a factor of 1/2 will shrink the original to what size? For example, you have a point P(1,2). Dilation factor of 2 will bring it to P'(2,4). Dilation factor of 3 will bring P'(3,6). What would be the coordinates of P' using a dilation factor of 1/2?
rayman5766
  • rayman5766
1,4?
mathmate
  • mathmate
Please explain how you arrived at (1,4).
mathmate
  • mathmate
Remember that 1/2 means \(\frac{1}{2}\), or 0.5.
rayman5766
  • rayman5766
actual would it be 1,1
mathmate
  • mathmate
Please explain how you arrived at (1,1).
mathmate
  • mathmate
(note: I will ask you to explain even if the answer is correct!)
mathmate
  • mathmate
(note: I will ask you to explain even if the answer is correct, so stop guessing)
rayman5766
  • rayman5766
sorry i was using multiplication for my answers but that would make more sens 1/2 is 50 so in dilation it would be 0,5 sorry for my stupidity
mathmate
  • mathmate
So please explain how you got (1,1).
rayman5766
  • rayman5766
well i thought i seen a pattern with the 2,4 being 4 2x2 would be 4 and 3 x 2=6
rayman5766
  • rayman5766
so i thought 1 would equal 1.1 but i forgot it was a 1/2 wich would make it 0.5 sorry i think of some other thing wich would make it the answer
rayman5766
  • rayman5766
also i keep putting wich and now which
mathmate
  • mathmate
Good, the fact is that each of the (x,y) coordinates must be multiplied by the scale factor. For example, if we apply a factor of 1.5 to P(2,5), we would get P'(2*1.5, 5*1.5)=P'(3,7.5). So can you try again?
rayman5766
  • rayman5766
i meant not
rayman5766
  • rayman5766
ok i can try
mathmate
  • mathmate
Not a problem unless you order a sandwhich at a restaurant! lol
rayman5766
  • rayman5766
ha good one you see when i think of math i think of possibility's so i think of this which would make that
rayman5766
  • rayman5766
be the answer
mathmate
  • mathmate
Just in case our original question was lost: For example, you have a point P(1,2). Dilation factor of 2 will bring it to P'(2,4). Dilation factor of 3 will bring P'(3,6). What would be the coordinates of P' using a dilation factor of 1/2?
rayman5766
  • rayman5766
so i get confused and make a dump aswer which makes me look like an idiot
mathmate
  • mathmate
The only dumb answer is the one that was never made!
rayman5766
  • rayman5766
2*1.2 and 3*1.5 =
rayman5766
  • rayman5766
i didn't put the answer becaues i am trying to make sure i am going in the right path here so am
rayman5766
  • rayman5766
wait would my answer be A
mathmate
  • mathmate
The answer to \(my\) question, P(1,2) with a factor of 0.5 is P'(1*0.5, 2*0.5) = P'(0.5,1) (use a calculator if you need to) Understand how the above problem was solved before thinking about the problem you are trying to solve. Math is about understanding. We should always understand how to solve a class of problems BEFORE attempting exercises on the topic. Guessing will only make math hard, for now and for the future.
rayman5766
  • rayman5766
wow that was some hard core wisdom you just said but you are correct
rayman5766
  • rayman5766
also that would make sens knowing 1/5 is 0.5 oki thik i get it
mathmate
  • mathmate
1/2 = 0.5, 1/5\(\ne\) 0.5
rayman5766
  • rayman5766
oh sorry i know that
rayman5766
  • rayman5766
i put a 5 and not a 2my bad
rayman5766
  • rayman5766
but one more thing were does the 3 you put up there come from '
mathmate
  • mathmate
Just in case our original question was lost: For example, you have a point P(1,2). Dilation factor of 2 will bring it to P'(2,4). Dilation factor of 3 will bring P'(3,6). What would be the coordinates of P' using a dilation factor of 1/2? If this is what you meant, they were examples

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