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hie i want to learn about rotation of a point with respect to some other point. for example, if a vertex of an equilateral triangle is given how to find the other vertex by rotation?

hie i want to learn about rotation of a point with respect to some other point.
for example, if a vertex of an equilateral triangle is given how to find the other vertex by rotation?

Grade:10

1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
9 years ago
Ans:
Hello Student,
Please find answer to your question

For the rotation, you should you the concept of rotation in complex number.
And if you know the one point and angle of 2nd pointw.r.t 1stpoint, then we can find 2ndpoint.
Let 2 points P(x1, y1) and Q(x2, y2)
Now shift the origin to P. Then we have
P(0, 0) and Q(x2– x1, y2– y1)
Now let PQ = r and theta be the angle PQ made with +ve real axis.
x_{2} - x_{1} = rcos\theta
y_{2} - y_{1} = rsin\theta
Now we can find x2and y2from here.

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