Question

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)

Answer 1

can any one help me

Answer 2

@Nnesha hey are you get with math becaues i need your help if you are

Answer 3

hey mathmate can you helpme wit this problem

Answer 4

@rayman5766
If you want help, please proof-read your post.
Casually copied and pasted posts discourage helpers.

Answer 5

oops sorry bot that its 1/2

Answer 6

i for got to typed that in hold on

Answer 7

Are you familiar with dilations?

Answer 8

yes

Answer 9

A dilation with a factor of 1/2 will make the figure bigger or smaller?

Answer 10

bogger i would hope

Answer 11

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!

Answer 12

oh i think i see so the figure would be smaller i guess

Answer 13

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).

Answer 14

yes we can

Answer 15

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?

Answer 16

1,4?

Answer 17

Please explain how you arrived at (1,4).

Answer 18

Remember that 1/2 means \(\frac{1}{2}\), or 0.5.

Answer 19

actual would it be 1,1

Answer 20

Please explain how you arrived at (1,1).

Answer 21

(note: I will ask you to explain even if the answer is correct!)

Answer 22

(note: I will ask you to explain even if the answer is correct, so stop guessing)

Answer 23

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

Answer 24

So please explain how you got (1,1).

Answer 25

well i thought i seen a pattern with the 2,4 being 4 2x2 would be 4 and 3 x 2=6

Answer 26

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

Answer 27

also i keep putting wich and now which

Answer 28

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?

Answer 29

i meant not

Answer 30

ok i can try

Answer 31

Not a problem unless you order a sandwhich at a restaurant! lol

Answer 32

ha good one you see when i think of math i think of possibility's so i think of this which would make that

Answer 33

be the answer

Answer 34

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?

Answer 35

so i get confused and make a dump aswer which makes me look like an idiot

Answer 36

The only dumb answer is the one that was never made!

Answer 37

2*1.2 and 3*1.5 =

Answer 38

i didn't put the answer becaues i am trying to make sure i am going in the right path here so am

Answer 39

wait would my answer be A

Answer 40

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.

Answer 41

wow that was some hard core wisdom you just said but you are correct

Answer 42

also that would make sens knowing 1/5 is 0.5 oki thik i get it

Answer 43

1/2 = 0.5, 1/5\(\ne\) 0.5

Answer 44

oh sorry i know that

Answer 45

i put a 5 and not a 2my bad

Answer 46

but one more thing were does the 3 you put up there come from '

Answer 47

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