# A line segment with endpoints at #(1 , -2 )# and #(6, 9 )# is rotated clockwise by #(3 pi)/2#. What are the new endpoints of the line segment?

New end points of the line segment are

Given :

Rotated by

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- Point A is at #(6 ,-8 )# and point B is at #(-3 ,8 )#. Point A is rotated #pi/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?
- A line segment has endpoints at #(5 ,9 )# and #(6 ,7 )#. The line segment is dilated by a factor of #4 # around #(5 ,1 )#. What are the new endpoints and length of the line segment?
- A line segment has endpoints at #(1 ,2 )# and #(3 , 1)#. The line segment is dilated by a factor of #1/2 # around #(2 , 5)#. What are the new endpoints and length of the line segment?
- Points A and B are at #(4 ,5 )# and #(6 ,8 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #4 #. If point A is now at point B, what are the coordinates of point C?
- Circle A has a radius of #4 # and a center of #(5 ,3 )#. Circle B has a radius of #3 # and a center of #(1 ,4 )#. If circle B is translated by #<2 ,5 >#, does it overlap circle A? If not, what is the minimum distance between points on both circles?

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