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Mathematics 7 Online
OpenStudy (shaleiah):

Medal for Geometry help.

OpenStudy (shaleiah):

OpenStudy (shaleiah):

@surjithayer

OpenStudy (shaleiah):

@daniel.ohearn1

OpenStudy (fluttershyk):

didn't I just show u this yesterday

OpenStudy (shaleiah):

your method was incorrect, sorry.

OpenStudy (michele_laino):

after a rotation of 90 degrees, we have a coordinate change, like below: \[\left( {x,y} \right) \to \left( {y, - x} \right)\] for example, the new coordinates of \(T=(3,-1)\), are: \((-1,-3)\)

OpenStudy (michele_laino):

please write the new coordinates of other points, using my rule above

OpenStudy (shaleiah):

X= (0,0) M= (-1,-2) ----> (-2,-1)

OpenStudy (shaleiah):

Q= (1,-3)

OpenStudy (michele_laino):

I got this: \(Q'=(3,1)\)

OpenStudy (michele_laino):

sorry, I have made an error, here is the right equation: \[\left( {x,y} \right) \to \left( { - y,x} \right)\]

OpenStudy (michele_laino):

\[\left( {3, - 1} \right) \to \left( {1,3} \right) = T'\]

OpenStudy (shaleiah):

x=0,-3

OpenStudy (michele_laino):

please wait a moment, I have to review my equations @shaleiah

OpenStudy (daniel.ohearn1):

This might help http://www.regentsprep.org/regents/math/geometry/GT4/Rotate.htm

OpenStudy (daniel.ohearn1):

but looks like you got it, then?

OpenStudy (michele_laino):

the rule: \[\left( {x,y} \right) \to \left( { - y,x} \right)\] is correct! so we have the subsequent images: \[\begin{gathered} \left( {3, - 1} \right) \to \left( {1,3} \right) = T' \hfill \\ \left( {0, - 3} \right) \to \left( {3,0} \right) = X' \hfill \\ \left( { - 2, - 1} \right) \to \left( {1, - 2} \right) = M' \hfill \\ \left( { - 1,3} \right) \to \left( { - 3, - 1} \right) = Q' \hfill \\ \end{gathered} \]

OpenStudy (michele_laino):

\[\left( {3, - 1} \right) \to \left( {1,3} \right) = T'\] \[\left( {0, - 3} \right) \to \left( {3,0} \right) = X'\] \[\left( { - 2, - 1} \right) \to \left( {1, - 2} \right) = M'\] \[\left( { - 1,3} \right) \to \left( { - 3, - 1} \right) = Q'\]

OpenStudy (shaleiah):

OpenStudy (shaleiah):

@Michele_Laino

OpenStudy (shaleiah):

Omg, I got it :D

OpenStudy (michele_laino):

it is wrong, please look at my images above

OpenStudy (shaleiah):

are you sure?

OpenStudy (michele_laino):

yes! for example, we have: \[\left( {0, - 3} \right) \to \left( {3,0} \right) = X'\] nevertheless it is different in the drawing

OpenStudy (michele_laino):

\(X_1=(0,3)\) is wrong

OpenStudy (shaleiah):

Alright, im going to re-graph the points.

OpenStudy (shaleiah):

OpenStudy (michele_laino):

please we have: \[\left( {1,3} \right) = T'\] whereas \(T_1=(3,1) \neq T'\)

OpenStudy (shaleiah):

okay, I understand.

OpenStudy (shaleiah):

OpenStudy (michele_laino):

please connect T1 wit Q1 directly

OpenStudy (michele_laino):

with*

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