# Points A and B are at #(2 ,1 )# and #(3 ,5 )#, 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?

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The coordinates of point C are (-3, 5).

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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.

- What are the different coordinate transformation conjectures?
- A line segment has endpoints at #(3 ,4 )# and #(5 ,9)#. If the line segment is rotated about the origin by #(pi )/2 #, translated vertically by #3 #, and reflected about the y-axis, what will the line segment's new endpoints be?
- A triangle has corners at #(-1 ,7 )#, #(-5 ,-3 )#, and #(2 ,9 )#. If the triangle is dilated by a factor of #5 # about point #(-7 ,1 ), how far will its centroid move?
- Circle A has a radius of #2 # and a center of #(2 ,5 )#. Circle B has a radius of #3 # and a center of #(7 ,8 )#. If circle B is translated by #<-2 ,-4 >#, does it overlap circle A? If not, what is the minimum distance between points on both circles?
- Identify the transformation that does NOT map the figure onto itself? A)Reflect across the line y = 1 B) Reflect across the line x = 1 C) Rotate 180° about the point (1, 1) D) Rotate 180° about the origin (0, 0)

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