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