Asked by yadlay
A counterclockwise quarter-turn Q about the origin is applied to the point (x, y). What are the coordinates of the image point? Answer in the form Q(x, y) = (ax + by, cx + dy).
Answers
Answered by
Reiny
If by a quarter-turn you mean a counterclockwise roation of 90°, then that would simply be
(x,y) ----> (-y,x)
You can illustrate that by drawing a right-angled triangle in the first quadrant, with sides +x and +y
Now do a 90° rotation to put the triangle in the second quadrant.
Notice that the base is now y, but of course it is going to the left, so -y
and the height is the original x of the first triangle.
(x,y) ----> (-y,x)
You can illustrate that by drawing a right-angled triangle in the first quadrant, with sides +x and +y
Now do a 90° rotation to put the triangle in the second quadrant.
Notice that the base is now y, but of course it is going to the left, so -y
and the height is the original x of the first triangle.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.