How do you rotate a shape 270° counterclockwise about the origin?

To rotate a shape 270° counterclockwise about the origin, swap the coordinates and change the sign of the new x-coordinate.

When you rotate a shape 270° counterclockwise about the origin, you are essentially performing a transformation on each point of the shape. Let's say you have a point (x, y). To rotate this point 270° counterclockwise, you need to swap the x and y coordinates and then change the sign of the new x-coordinate. This means the point (x, y) will become (y, -x).

For example, if you have a point (3, 4) and you want to rotate it 270° counterclockwise, you would first swap the coordinates to get (4, 3). Then, you change the sign of the new x-coordinate, resulting in the point (4, -3).

This transformation works for any point on the shape. If you have multiple points, you apply the same rule to each one. For instance, if you have a triangle with vertices at (1, 2), (3, 4), and (5, 6), after rotating 270° counterclockwise, the new vertices will be (2, -1), (4, -3), and (6, -5).

Remember, rotating a shape 270° counterclockwise is the same as rotating it 90° clockwise. This can sometimes make it easier to visualise the transformation. Practising with different points and shapes will help you get more comfortable with these rotations.