What are the coordinate points of A' if A (5,6) undergoes a rotation of

Question

90°clockwise
270° clockwise

Answer 1

To find the coordinate points of A' after a rotation, we need to apply the rotation formula.

For a rotation of 90° clockwise:

To rotate a point (x, y) by 90° clockwise, we use the following formulas:
x' = y
y' = -x

Plugging in the values of A (5, 6), we get:
x' = 6
y' = -5

So, A' is located at the coordinate point (6, -5).

For a rotation of 270° clockwise:

To rotate a point (x, y) by 270° clockwise, we can consider it as a rotation of 90° counterclockwise. So, we can apply the same formulas as before but switch the values of x' and y'.

Plugging in the values of A (5, 6), we get:
x' = -6
y' = 5

So, A' is located at the coordinate point (-6, 5).