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Mathematics 8 Online
OpenStudy (anonymous):

If the coordinates of a triangle are (-3,4) , (2,-1) & (7,1) what will the coordinates be when its rotated 90 degrees clockwise?

OpenStudy (anonymous):

(4,3),(-1,-2),(1,-7)

OpenStudy (anonymous):

can you please show me the steps?...thank you

OpenStudy (anonymous):

Simply swap the x and y components for each point, then change the sign of the new y component.

OpenStudy (anonymous):

for example, if you had a point with a y component of 5, rotating that point 90 degrees would lead to a new point with an x-component of 5. If the original point had an x-component of 3, rotating that point 90 degrees clockwise would lead to a y-component of -5. Thus, a point (a,b) rotated 90 degrees counterclockwise would lead to a point (b,-a).

OpenStudy (anonymous):

ohh....got it....thank you.... :)

OpenStudy (anonymous):

*clockwise, pardon me :)

OpenStudy (anonymous):

but what if the coordinate is (-8,5) & You gotta rotate it counter clockwise, then what happenes to the coordinates?

OpenStudy (anonymous):

hello...you there?

OpenStudy (anonymous):

Essentially, the reverse would be true. The negative 8 x-component would become a negative 8 y-component, and a y-component of 5 would become a negative 5 x-component. Thus, (-8,5) would become (-5,-8). (a,b) => (-b,a)

OpenStudy (anonymous):

okay....Thank you.... :)

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