What is the image of the point (8, -3) after a rotation of 90° counterclockwise about the origin?

Step-by-step explanation:

When we rotate a point 90° counterclockwise around the origin, it's the same as rotating it 270° clockwise around the origin.

When we rotate something 270° clockwise around the origin, the original coordinates (x, y) becomes (-y, x).

y is -3, and -(-3) is just 3, since two negatives make a positive.

x just remains x, but it's in a different position.

This makes the new coordinate .

Hope this helped!

5+2x=a

asdasdsaadsaddsasds

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)