# A line segment has endpoints at #(5 ,9 )# and #(8 ,7 )#. If the line segment is rotated about the origin by #( pi)/2 #, translated vertically by #-8 #, and reflected about the y-axis, what will the line segment's new endpoints be?

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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.

- Are dilated triangles basically just similar triangles?
- Point A is at #(2 ,9 )# and point B is at #(1 ,-3 )#. Point A is rotated #pi # 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?
- Point A is at #(-2 ,5 )# and point B is at #(-3 ,8 )#. Point A is rotated #pi # 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?
- A triangle has corners at #(6 ,3 )#, #(4 ,-1 )#, and #(2 ,-9 )#. If the triangle is dilated by a factor of #5 # about point #(1 ,-5 ), how far will its centroid move?
- A triangle has corners at #(6, 4 )#, ( 1, -2)#, and #( 4, -1)#. If the triangle is reflected across the x-axis, what will its new centroid be?

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