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?
Distance moved by centroid
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- A line segment has endpoints at #(9 ,7 )# 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 line segment goes from #(2 ,3 )# to #(4 ,1 )#. The line segment is dilated about #(0 ,1 )# by a factor of #3#. Then the line segment is reflected across the lines #x=2# and #y=-1#, in that order. How far are the new endpoints from the origin?
- Point A is at #(-2 ,8 )# and point B is at #(-1 ,3 )#. Point A is rotated #(3pi)/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?
- What are the rules of transformation - specifically, of dilation, rotation, reflection and translation?
- A triangle has corners at #(5 ,3 )#, #(9 ,4 )#, and #(2 ,2 )#. If the triangle is dilated by a factor of #2 # about point #(9 ,1 ), how far will its centroid move?
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