What is the image of the point (17, 14) when rotated 270 degrees counterclockwise about the origin?

Solution:

Given,

Point A(17, 14)

A 270° anticlockwise rotation is exactly the same thing as a 90° clockwise rotation.

For a 90° clockwise rotation, swapping of x and y coordinates has to be done on the transformation of rotation.

The general form to rotate 270° : (x, y) becomes(y, -x)

Image of point A (17, 14)= (14, -17)

Therefore, the image = (14, -17).

Example:

What is the image of the point (14, 16) when rotated 270 degrees counterclockwise about the origin?

Solution:

Given,

Point A(14, 16)

A 270° anticlockwise rotation is exactly the same thing as a 90° clockwise rotation.

For a 90° clockwise rotation, swapping of x and y coordinates has to be done.

The general form: (x, y) becomes(y, -x)

Image of point A (14, 16)= (16, -14)

Therefore, the image = (16, -14).

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What is the image of the point (17, 14) when rotated 270 degrees counterclockwise about the origin?

Summary:

The image of the point (17, 14) when rotated 270 degrees counterclockwise about the origin is(14.-17).