Dilations or Scaling around a Point - Page 5
Questions
- A triangle as corners at #(5 ,2 )#, #(2 ,4 )#, and #(3 ,8 )#. If the triangle is dilated by a factor of #3 # about #(2 ,3 ), how far will its centroid move?
- A triangle has corners at #(1 ,9 )#, #(-6 ,-1 )#, and #(1 ,-2 )#. If the triangle is dilated by a factor of #2 # about point #(-5 ,-2 ), how far will its centroid move?
- Points A and B are at #(6 ,7 )# and #(7 ,4 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/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 has endpoints at #(5 ,6 )# and #(6 , 1)#. The line segment is dilated by a factor of #2 # around #(4 , 2)#. What are the new endpoints and length of the line segment?
- A line segment has endpoints at #(9 ,2 )# and #(5 , 4)#. The line segment is dilated by a factor of #3 # around #(2 , 3)#. What are the new endpoints and length of the line segment?
- A triangle has corners at #(4 ,2 )#, #(2 ,-3 )#, and #(8 ,-2 )#. If the triangle is dilated by a factor of #1/3 # about point #(-3 ,-1 ), how far will its centroid move?
- A triangle has corners at #(-4 ,2 )#, #(7 ,1 )#, and #(2 ,-7 )#. If the triangle is dilated by a factor of #2/5 # about point #(-1 ,4 ), how far will its centroid move?
- A dilation with center (0, 0) and scale factor k is applied to a polygon. What dilation can you apply to the image to return it to the original preimage?
- A line segment has endpoints at #(8 ,4 )# and #(3 ,7 )#. The line segment is dilated by a factor of #1/2 # around #(3 ,2 )#. What are the new endpoints and length of the line segment?
- A line segment has endpoints at #(1 ,4 )# and #(4 , 9)#. The line segment is dilated by a factor of #1/3 # around #(4 , 2)#. What are the new endpoints and length of the line segment?
- A line segment has endpoints at #(1 ,4 )# and #(3 ,4 )#. The line segment is dilated by a factor of #6 # around #(2 ,5 )#. What are the new endpoints and length of the line segment?
- A line segment has endpoints at #(1 ,6 )# and #(5 ,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?
- Points A and B are at #(3 ,6 )# and #(7 ,5 )#, 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?
- Points A and B are at #(3 ,9 )# and #(9 ,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?
- Points A and B are at #(9 ,7 )# and #(4 ,3 )#, 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?
- A line segment has endpoints at #(2 ,7 )# and #(5 ,4 )#. The line segment is dilated by a factor of #2 # around #(4 ,3 )#. What are the new endpoints and length of the line segment?
- A line segment has endpoints at #(2 ,8 )# and #(2 , 1)#. The line segment is dilated by a factor of #3 # around #(6 , 4)#. What are the new endpoints and length of the line segment?
- Points A and B are at #(4 ,1 )# and #(8 ,3 )#, respectively. Point A is rotated counterclockwise about the origin by #pi/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 has corners at #(8 ,2 )#, #(4 ,9 )#, and #(-5 ,3 )#. If the triangle is dilated by a factor of #5 # about point #(1 ,-2 ), how far will its centroid move?
- A triangle has corners at #(7 ,8 )#, #(2 ,4 )#, and #(6 ,3 )#. If the triangle is dilated by a factor of #2 # about point #(6 ,12 ), how far will its centroid move?