# 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?

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The new endpoints of the line segment after dilation are (10, 15) and (-2, 0). The length of the line segment is 14 units.

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- What is a transformation? And what are the four types of transformations?
- Point A is at #(3 ,7 )# and point B is at #(3 ,-4 )#. 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 triangle has corners at #(8 ,3 )#, #(4 ,-5 )#, and #(2 ,1 )#. If the triangle is dilated by a factor of #5 # about point #(1 ,-3 ), how far will its centroid move?
- Points A and B are at #(7 ,9 )# and #(6 ,2 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C?
- A line segment with endpoints at #(2 , 2 )# and #(5, -3 )# is rotated clockwise by #pi #. What are the new endpoints of the line segment?

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