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Rotation coordinate plane counter clockwise

User Majdi
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1 Answer

25 votes
25 votes

Given the questions, we are asked to rotate the coordinate plane clockwise.

Before we can do that, there are certain things we need to know.

Rotations are turn, and it can be achieved by performing two composite reflections over intersecting lines. The resulting rotation will be double the amount of the angle formed by the intersecting lines.

Rotation are isometric, and do not preserve orientation unless the rotation is 360 degrees or exhibit rotational symmetry back onto itself.

When a point (x, y) is rotated counterclockwise about the origin, the following rules are true:

For a rotation of 90˚ (x, y) -----> (-y, x)

For a rotation of 180˚ (x, y) ----> (-x, -y)

For a rotation of 270˚ (x, y) ----> (y, -x)

So we the above explanation, lets rotate the coordinates given to us 90˚ counterclockwise

T(-4, 0) ----------> T'(-0, -4)

U(-1, -2) ----------> U'(2, -1)

V(-8, -7) ----------> V'(7, -8)

User Stephen Tun Aung
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