# Points A and B are at #(7 ,1 )# and #(3 ,7 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C?

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- A line segment has endpoints at #(4 ,3 )# and #(2 ,6 )#. The line segment is dilated by a factor of #4 # around #(3 ,3 )#. What are the new endpoints and length of the line segment?
- A line segment has endpoints at #(2 ,1 )# and #(6 ,2 )#. The line segment is dilated by a factor of #4 # around #(2 ,1 )#. What are the new endpoints and length of the line segment?
- A triangle has corners at #(-5 ,6 )#, #(2 ,-3 )#, and #(8 ,9 )#. If the triangle is dilated by a factor of #5 # about point #(-3 ,6 ), how far will its centroid move?
- A line segment with endpoints at #(5, 1)# and #(7, 2)# is rotated clockwise by #pi/2#. What are the new endpoints of the line segment?
- Point A is at #(-2 ,-8 )# and point B is at #(-5 ,3 )#. Point A is rotated #(3pi)/2 # clockwise about the origin. What are the new coordinates of point A and by how much has the distance between points A and B changed?

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