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Rotation of a Shape

Rasheedahamed F
29 May 0 0

* Rotation is nothing but rotating an object through an angle of 90 degrees, 180 degrees, 270 degrees either clockwise or anticlockwise.

* For rotating 90 degrees clockwise and anticlockwise the steps are same

* For rotating 180 degrees clockwise and anticlockwise the steps are same

First, we will look into 90-degree rotation(it may be clockwise or anticlockwise)

for 90 degrees rotation, the co-ordinates (from the quadrant it is plotted) should be swapped and changed(signs) according to the destination it is going.

For example, consider a co-ordinate (2,3) from the co-ordinate we know that it lies in the first quadrant. In the question, if they are asking to rotate the given co-ordinate to 90 degrees clockwise and write the co-ordinate?

Solution: (2,3) lies in the first quadrant. In the first quadrant, both the x and y values are positive. Here we are going to rotate this co-ordinate to an angle 90 degree clockwise

The first step is we have to swap the points that are (3,2)

If the point is rotated to 90 degrees clockwise, it will go to the fourth quadrant. In the fourth quadrant, x values are positive, and y values are negative therefore the answer is (3,-2)

for 180 degrees rotation, the co-ordinates (from the quadrant it is plotted) should not be swapped; only the sign should be changed according to the destination quadrant.

Example 2: Rotate the point (-3,2) to 180 degrees clockwise

Solution: (-3,2) lies in the second quadrant. In the second quadrant, x values are negative, and y values are positive.

 To rotate this co-ordinate 180 degree, the thing is we should not swap the points we should consider the numbers without a sign, i.e.(3,2)

If we rotate to 180 degrees clockwise, the points will go to the fourth quadrant. In the fourth quadrant, x values are positive, and values are negative; therefore, the answer is (3,-2).

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