Question

Use the center of rotation point C and rotatepoint P clockwise around it 90°. Label the image P'. With point C as a center of rotation also rotate point P 180°. Label this image P".P':__; P'':__

Answer 1

We have a point P=(a=7,b=6) and we need to rotate around C=(x= 4,y=1)

And we can use the following formula:

We can change the origin and the new coordinates are now:

C (0,0), P= (3 ,5)

Then the rotated point is:

Px' = (5, -3)

And the real value would be:

P' = (5+4, -3+1)= (9,-2)

For the second case the new coordinate is:

Px'' = (-5, -3)

And with the transformation we have:

P'' =(-5+4, -3+1)= (-1, -2)