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)

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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
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can any one help me
@Nnesha hey are you get with math becaues i need your help if you are
hey mathmate can you helpme wit this problem

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@rayman5766 If you want help, please proof-read your post. Casually copied and pasted posts discourage helpers.
oops sorry bot that its 1/2
i for got to typed that in hold on
Are you familiar with dilations?
yes
A dilation with a factor of 1/2 will make the figure bigger or smaller?
bogger i would hope
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!
oh i think i see so the figure would be smaller i guess
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).
yes we can
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?
1,4?
Please explain how you arrived at (1,4).
Remember that 1/2 means \(\frac{1}{2}\), or 0.5.
actual would it be 1,1
Please explain how you arrived at (1,1).
(note: I will ask you to explain even if the answer is correct!)
(note: I will ask you to explain even if the answer is correct, so stop guessing)
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
So please explain how you got (1,1).
well i thought i seen a pattern with the 2,4 being 4 2x2 would be 4 and 3 x 2=6
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
also i keep putting wich and now which
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?
i meant not
ok i can try
Not a problem unless you order a sandwhich at a restaurant! lol
ha good one you see when i think of math i think of possibility's so i think of this which would make that
be the answer
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?
so i get confused and make a dump aswer which makes me look like an idiot
The only dumb answer is the one that was never made!
2*1.2 and 3*1.5 =
i didn't put the answer becaues i am trying to make sure i am going in the right path here so am
wait would my answer be A
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.
wow that was some hard core wisdom you just said but you are correct
also that would make sens knowing 1/5 is 0.5 oki thik i get it
1/2 = 0.5, 1/5\(\ne\) 0.5
oh sorry i know that
i put a 5 and not a 2my bad
but one more thing were does the 3 you put up there come from '
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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