# Pre-image: A(−4, 2) , B(4, 4) , and C(−1, 2) Image: A′(−2, 1) , B′(2, 2) , and C′(−12, 1) Is the dilation an expansion or contraction? What is the scale factor?

Expansion (and rotation). Scale approximately 2 (just under).

The scale can be determined exactly by taking the ratio of the distances between two corresponding points in each image.

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The dilation is a contraction. The scale factor is 0.5.

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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.

- A triangle has corners at #(3, 8 )#, ( 2, -2)#, and #( 2, -1)#. If the triangle is reflected across the x-axis, what will its new centroid be?
- A triangle has corners at #(8, 5 )#, ( 2, -2)#, and #(7, -4 )#. If the triangle is reflected across the x-axis, what will its new centroid be?
- Pre-image point N(6, -3) was dilated to point N'(2,-1). What was the scale factor used?
- Circle A has a radius of #2 # and a center of #(6 ,3 )#. Circle B has a radius of #3 # and a center of #(2 ,4 )#. If circle B is translated by #<1 ,3 >#, does it overlap circle A? If not, what is the minimum distance between points on both circles?
- A line segment has endpoints at #(4 ,2 )# and #(3 ,1 )#. If the line segment is rotated about the origin by #pi /2 #, translated vertically by #1 #, and reflected about the y-axis, what will the line segment's new endpoints be?

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