Question

What is the image of the point (-8,3)(−8,3) after a rotation of 270^{\circ}270

Answer 1

Given:

The point is (-8,3).

To find:

The image of the given point after a rotation of 270 degrees counterclockwise about the origin.

Solution:

If a point is rotated 270 degrees counterclockwise about the origin, then the rule of rotation is:

$(x,y)\to (y,-x)$

Using this rule, we get

$(-8,3)\to (3,-(-8))$

$(-8,3)\to (3,8)$

Therefore, the  image of the given point after a rotation of 270 degrees counterclockwise about the origin is (3,8).