Dilations or Scaling around a Point - Page 6
Questions
- A line segment has endpoints at #(3 ,2 )# and #(5 ,4 )#. The line segment is dilated by a factor of #4 # around #(2 ,3 )#. What are the new endpoints and length of the line segment?
- A triangle has corners at #(-1 ,7 )#, #(3 ,-5 )#, and #(7 ,-3 )#. If the triangle is dilated by a factor of #5 # about point #(-2 ,4 ), how far will its centroid move?
- A triangle has corners at #(-7 ,3 )#, #(4 ,-1 )#, and #(2 ,1 )#. If the triangle is dilated by a factor of #5 # about point #(1 ,-5 ), how far will its centroid move?
- Points A and B are at #(7 ,3 )# and #(3 ,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 #(6 ,5 )# and #(3 ,8 )#, 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 #(2 ,4 )# and #(5 ,3 )#. The line segment is dilated by a factor of #3 # around #(3 ,8 )#. What are the new endpoints and length of the line segment?
- Points A and B are at #(4 ,1 )# and #(8 ,5 )#, 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 #(3 ,1 )#, #(7 ,-5 )#, and #(-4 ,-2 )#. If the triangle is dilated by a factor of #5 # about point #(7 ,-6 ), how far will its centroid move?
- A line segment has endpoints at #(9 ,1 )# and #(1 ,2 )#. 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 triangle has corners at #(-1 ,2 )#, #(3 ,-5 )#, and #(7 ,4 )#. If the triangle is dilated by a factor of #5 # about point #(-2 ,6 ), how far will its centroid move?
- Points A and B are at #(9 ,4 )# and #(7 ,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 triangle has corners at #(-2 ,3 )#, #(1 ,-4 )#, and #(5 ,-6 )#. If the triangle is dilated by a factor of #2 # about point #(-2 ,-3 ), how far will its centroid move?
- A triangle has corners at #(-6 ,3 )#, #(3 ,-2 )#, and #(5 ,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 #(4 ,3 )# and #(2 ,5 )#. 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 #(7 ,3 )# and #(5 ,8 )#. The line segment is dilated by a factor of #3 # around #(3 ,4 )#. What are the new endpoints and length of the line segment?
- A line segment has endpoints at #(2 ,1 )# and #(4 ,2 )#. The line segment is dilated by a factor of #4 # around #(3 ,1 )#. What are the new endpoints and length of the line segment?
- Points A and B are at #(9 ,4 )# and #(1 ,5 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/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?
- Points A and B are at #(6 ,5 )# and #(7 ,8 )#, 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?
- Points A and B are at #(5 ,8 )# and #(8 ,1 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # 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?
- A triangle has corners at #(2 ,3 )#, #(4 ,-1 )#, and #(-8 ,6 )#. If the triangle is dilated by a factor of #5 # about point #(4 ,-3 ), how far will its centroid move?