Dilations or Scaling around a Point - Page 2
Questions
- A line segment has endpoints at #(3 ,2 )# and #(2 , 5)#. The line segment is dilated by a factor of #4 # around #(2 , 3)#. What are the new endpoints and length of the line segment?
- Points A and B are at #(4 ,5 )# and #(7 ,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 has corners at #(2 ,-5 )#, #(-8 ,4 )#, and #(1 ,-3 )#. If the triangle is dilated by a factor of #2/5 # about point #(-1 ,-2 ), how far will its centroid move?
- A triangle has corners at #(5 ,3 )#, #(4 ,6 )#, and #(8 ,5 )#. If the triangle is dilated by a factor of #2 # about point #(3 ,2 )#, how far will its centroid move?
- A line segment has endpoints at #(9 ,3 )# and #(5 ,4 )#. The line segment is dilated by a factor of #3 # around #(4 ,6 )#. What are the new endpoints and length of the line segment?
- Points A and B are at #(1 ,7 )# and #(3 ,9 )#, 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?
- Points A and B are at #(1 ,1 )# and #(4 ,7 )#, 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 #(3, 4 )#, #( 6, 3 )#, and #( 7 , 2 )#. If the triangle is dilated by # 5 x# around #(1, 1)#, what will the new coordinates of its corners be?
- A triangle has corners at #(4 ,-6 )#, #(3 ,-3 )#, and #(8 ,4 )#. If the triangle is dilated by a factor of #1/3 # about point #(-3 ,2 ), how far will its centroid move?
- Points A and B are at #(2 ,9 )# and #(3 ,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?
- A line segment has endpoints at #(1 ,4 )# and #(5 ,3 )#. The line segment is dilated by a factor of #3 # around #(2 ,6 )#. What are the new endpoints and length of the line segment?
- A line segment has endpoints at #(5 ,9 )# and #(8 ,2 )#. The line segment is dilated by a factor of #2 # around #(5 ,3 )#. What are the new endpoints and length of the line segment?
- Points A and B are at #(1 ,5 )# and #(2 ,3 )#, 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?
- A triangle has corners at #(1, 2 )#, #( 2, 3 )#, and #( 1 , 5 )#. If the triangle is dilated by # 4 x# around #(3, 1)#, what will the new coordinates of its corners be?
- A triangle has corners at #(-3 ,-1 )#, #(7 ,3 )#, and #(1 ,2 )#. If the triangle is dilated by a factor of #1/3 # about point #(-3 ,4 ), how far will its centroid move?
- A triangle as corners at #(1 ,7 )#, #(4 ,3 )#, and #(2 ,6 )#. If the triangle is dilated by a factor of #3 # about #(4 ,2 ), how far will its centroid move?
- How does a dilation affect a figure on a coordinate plane?
- A triangle as corners at #(3 ,5 )#, #(5 ,2)#, and #(9 ,4)#. If the triangle is dilated by a factor of #4 # about #(1 ,9), how far will its centroid move?
- A triangle has corners at #(2, 5 )#, #( 1, 3 )#, and #( 4 , 2 )#. If the triangle is dilated by # 7 x# around #(1, 3)#, what will the new coordinates of its corners be?
- A triangle has corners at #(2 ,-2 )#, #(3 ,-1 )#, and #(5 ,7 )#. If the triangle is dilated by a factor of #2/5 # about point #(6 ,-2 ), how far will its centroid move?