# A line segment has endpoints at #(7 ,9 )# and #(3 ,6 )#. If the line segment is rotated about the origin by #(3 pi)/2 #, translated vertically by #4 #, 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.

- Point A is at #(-2 ,9 )# and point B is at #(-1 ,4 )#. 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?
- Deshawn draws a regular pentagon and rotates it about its center. Which angle measures can Deshawn rotate the regular pentagon through to map it onto itself?
- A line segment has endpoints at #(5 ,5 )# and #(3 ,7 )#. The line segment is dilated by a factor of #1/2 # around #(3 , 1)#. What are the new endpoints and length of the line segment?
- Circle A has a radius of #2 # and a center at #(3 ,6 )#. Circle B has a radius of #4 # and a center at #(2 ,3 )#. If circle B is translated by #<-2 ,1 >#, does it overlap circle A? If not, what is the minimum distance between points on both circles?
- A line segment has endpoints at #(7 ,6 )# and #(2 ,3 )#. If the line segment is rotated about the origin by # pi #, translated horizontally by # - 4 #, and reflected about the y-axis, what will the line segment's new endpoints be?

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