Question

What is the image of the point (−9,−4) after a rotation of 90∘ counterclockwise about the origin?

Answer 1

Explanation:

The 'x' coordinate will become positive

the 'y' coordinate will still be negative

the 'x' and 'y' will switch:

( 4, -9)

Answer 2

(4, -9)

Explanation:

In order to find the image of a point after a 90° counterclockwise rotation about the origin, we can swap the x and y coordinates and negate the new x-coordinate. Here's how it works:

Original point: (-9, -4)

After a 90° counterclockwise rotation:

• Swap the x and y coordinates: (-4, -9)
• Negate the new x-coordinate: (4, -9)

So, the image of the point (-9, -4) after a 90° counterclockwise rotation about the origin is (4, -9).