Dilations or Scaling around a Point - Page 4
Questions
- A triangle has corners at #(-2 ,6 )#, #(4 ,-3 )#, and #(2 ,9 )#. If the triangle is dilated by a factor of #5 # about point #(-7 ,1 ), how far will its centroid move?
- Points A and B are at #(3 ,7 )# and #(4 ,2 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #5 #. If point A is now at point B, what are the coordinates of point C?
- A line segment has endpoints at #(3 ,5 )# and #(6 ,1 )#. The line segment is dilated by a factor of #4 # around #(6 ,2 )#. What are the new endpoints and length of the line segment?
- What are some examples of dilation?
- How do you locate the center of a dilation?
- A line segment has endpoints at #(9 ,7 )# and #(5 ,4 )#. The line segment is dilated by a factor of #3 # around #(4 ,3 )#. What are the new endpoints and length of the line segment?
- How do you dilate a rectangle with points #(6,3), (2,3) (6,9) (2,9)# by a scale factor of .5 with #6,3# as the center of dilation?
- Points A and B are at #(3 ,7 )# and #(6 ,1 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/2 # 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?
- The dashed triangle is the image of the solid triangle. The center of dilation is (6,6)(6,6). What is the scale factor used to create the dilation?
- A triangle has corners at #(1, 3)#, #(3, -2)#, and #(-1,7)#. If the triangle is dilated by a factor of #5# about point #(-2, -1)#, how far will its centroid move?
- A line segment has endpoints at #(1 ,2 )# and #(3 , 9)#. The line segment is dilated by a factor of #1/2 # around #(4 , 2)#. What are the new endpoints and length of the line segment?
- A line segment has endpoints at #(9 ,2 )# and #(7 , 4)#. The line segment is dilated by a factor of #4 # around #(1 , 5)#. What are the new endpoints and length of the line segment?
- Points A and B are at #(4 ,3 )# and #(5 ,1 )#, 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?
- Line XY is dilated by a scale factor of 1.3 with the origin as the center of dilation to create the image line X'Y' . If the slope and length of XY are # m # and #l# respectively, what is the slope of X'Y' ?
- A line segment has endpoints at #(7 ,6 )# and #(9 ,2 )#. The line segment is dilated by a factor of #4 # around #(4 ,3 )#. What are the new endpoints and length of the line segment?
- A line segment has endpoints at #(7 ,4 )# and #(3 ,8 )#. The line segment is dilated by a factor of #5 # around #(4 ,2 )#. What are the new endpoints and length of the line segment?
- Points A and B are at #(4 ,5 )# and #(6 ,2 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #1/2 #. If point A is now at point B, what are the coordinates of point C?
- A triangle as corners at #(4 ,5 )#, #(5 ,3)#, and #(2 ,1)#. If the triangle is dilated by a factor of #4 # about #(4 ,2 ), how far will its centroid move?
- A triangle has corners at #(-2 ,1 )#, #(6 ,-3 )#, and #(-1 ,4 )#. If the triangle is dilated by a factor of #5 # about point #(4 ,-6 ), how far will its centroid move?
- A triangle has corners at #(6 ,3 )#, #(4 ,-1 )#, and #(3 ,-9 )#. If the triangle is dilated by a factor of #5 # about point #(8 ,-6 ), how far will its centroid move?