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explain in words how you would find the new coordinates after the triangle is rotated 270 degrees about the origin.

explain in words how you would find the new coordinates after the triangle is rotated-example-1
User Lorenzo Pistone
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1 Answer

19 votes
19 votes

I am going to explain this in words ( but just so you know this you can solve using a rotation matrix :) ).

We notice that rotating the figure 270 degrees about the origin is like rotating the figure 3 times 90. Now, rotating 90 degrees something lets say a point (x,y) will give you the point (-y,x), doing that process again we get a rotation of 180 degrees and (-y,x) will become (-x,-y), finally the last rotation will convert (-x,-y) to (y,-x).

Then, the original point (x,y) became (y,-x) after the 270 degrees rotation about the origin.

Then for any coordinates you can use this same result, for example for the coordinates of the triangle.

User Elger Van Boxtel
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