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Quadrilateral WXYZ is located at W(3, 6), X(5, 10), Y(2, 4), Z(4, 8). A rotation of the quadrilateral is located at W�(6, 3), X�(10, 5), Y�(4, 2), Z�(8, 4). How is the quadrilateral transformed?
A. Quadrilateral WXYZ is rotated 90º counterclockwise about the origin
B. Quadrilateral WXYZ is rotated 90º clockwise about the origin
C. Quadrilateral WXYZ is rotated 180º about the origin
D. Quadrilateral WXYZ is rotated 45º about the origin
 2 years ago
 2 years ago
Quadrilateral WXYZ is located at W(3, 6), X(5, 10), Y(2, 4), Z(4, 8). A rotation of the quadrilateral is located at W�(6, 3), X�(10, 5), Y�(4, 2), Z�(8, 4). How is the quadrilateral transformed? A. Quadrilateral WXYZ is rotated 90º counterclockwise about the origin B. Quadrilateral WXYZ is rotated 90º clockwise about the origin C. Quadrilateral WXYZ is rotated 180º about the origin D. Quadrilateral WXYZ is rotated 45º about the origin
 2 years ago
 2 years ago

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TuringTestBest ResponseYou've already chosen the best response.1
hmm... it looks like all the coordinates are changing from\[(a,b)\to(b,a)\]I wonder what that means.
 2 years ago

hugsandkissesBest ResponseYou've already chosen the best response.0
I wonder what that means too!
 2 years ago

TuringTestBest ResponseYou've already chosen the best response.1
pretty sure meverett will tell you
 2 years ago

meverett04Best ResponseYou've already chosen the best response.2
Draw a picture of the original shape. Then like the previous one, draw four circles for W, X, Y and Z. We have the 180 degree rotation again. C is our answer
 2 years ago

hugsandkissesBest ResponseYou've already chosen the best response.0
I dont understand the rotations thing though. is there a formula, or do I have to draw everytime?
 2 years ago

meverett04Best ResponseYou've already chosen the best response.2
I am a visual learner, I draw the picture every time. @Turing, do you have a formula?
 2 years ago

TuringTestBest ResponseYou've already chosen the best response.1
When you see the coordinates change from... \[(a,b)\to(b,a)\]that means.a means counterclockwise rotation 90 degrees clockwise is this change\[(a,b)\to(b,a)\]the opposite of course. 180deg is\[(a,b)\to(a,b)\]which is obvious if you think about it. So I guess I do...
 2 years ago

meverett04Best ResponseYou've already chosen the best response.2
Why does this work Turing?
 2 years ago

TuringTestBest ResponseYou've already chosen the best response.1
I can recall that only because I just did it yesterday The real formula is done with matrices, but gives the same result.
 2 years ago

TuringTestBest ResponseYou've already chosen the best response.1
I will show you the actual formula...
 2 years ago

TuringTestBest ResponseYou've already chosen the best response.1
you don't want it hugsandkisses it is above your level sorry...
 2 years ago

hugsandkissesBest ResponseYou've already chosen the best response.0
Haha, alright. thanks for trying though
 2 years ago

TuringTestBest ResponseYou've already chosen the best response.1
this multiplication maps a vector onto itself:\[(a,b)\left[\begin{matrix}1 & 0 \\ 0 & 1\end{matrix}\right]\]...
 2 years ago

TuringTestBest ResponseYou've already chosen the best response.1
this one turns it 180 degrees\[(a,b)\left[\begin{matrix}1 & 0 \\ 0 & 1\end{matrix}\right]\]
 2 years ago

hugsandkissesBest ResponseYou've already chosen the best response.0
umm.. thanks for trying to explain it to me :P
 2 years ago

TuringTestBest ResponseYou've already chosen the best response.1
here is 90 deg closkwise\[(a,b)\left[\begin{matrix}0 & 1 \\ 1 & 0\end{matrix}\right]\]and counterclockwise is\[(a,b)\left[\begin{matrix}0 & 1 \\ 1 & 0\end{matrix}\right]\]
 2 years ago

hugsandkissesBest ResponseYou've already chosen the best response.0
thanks again for trying sir!
 2 years ago

meverett04Best ResponseYou've already chosen the best response.2
Hmmm ... I have some reading to due .... thank you for the start ...
 2 years ago

TuringTestBest ResponseYou've already chosen the best response.1
but for you hugs and kisses just use what I gave above. I actually gave you the answer is you put my posts together.
 2 years ago

TuringTestBest ResponseYou've already chosen the best response.1
not the matrices The part with the arrows
 2 years ago

hugsandkissesBest ResponseYou've already chosen the best response.0
the arrows thing was much easier, thanks a ton
 2 years ago
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