Question

What are the coordinate points of A' if A(5, 6) undergoes a rotation of:
90° clockwise:
180° clockwise:
270° clockwise:

Answer 1

To find the coordinate points of A' after a rotation of a certain degree, we can use the following formulas for 2D rotations:

1. 90° clockwise rotation:
x' = y
y' = -x

Substitute the coordinates of A(5, 6) into the formulas:
x' = 6
y' = -5

Therefore, the coordinate points of A' after a 90° clockwise rotation are A'(6, -5).

2. 180° clockwise rotation:
x' = -x
y' = -y

Substitute the coordinates of A(5, 6) into the formulas:
x' = -5
y' = -6

Therefore, the coordinate points of A' after a 180° clockwise rotation are A'(-5, -6).

3. 270° clockwise rotation:
x' = -y
y' = x

Substitute the coordinates of A(5, 6) into the formulas:
x' = -6
y' = 5

Therefore, the coordinate points of A' after a 270° clockwise rotation are A'(-6, 5).