How do you determine if the following scale factor 4/3 would create an enlargement, reduction, or isometric figure?
It would create an enlarged figure.
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The scale factor of ( \frac{4}{3} ) would create an enlargement because it is greater than 1.
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To determine whether a scale factor of ( \frac{4}{3} ) would create an enlargement, reduction, or an isometric figure:
- If the scale factor is greater than 1, the figure is enlarged.
- If the scale factor is between 0 and 1, exclusive, the figure is reduced.
- If the scale factor is equal to 1, the figure remains unchanged (isometric).
In this case, the scale factor ( \frac{4}{3} ) is greater than 1, so it would create an enlargement of the figure.
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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.
- Circle A has a radius of #2 # and a center of #(2 ,7 )#. Circle B has a radius of #1 # and a center of #(3 ,1 )#. 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 #(1 ,6 )# and #(5 ,2 )#. The line segment is dilated by a factor of #4 # around #(2 ,1 )#. What are the new endpoints and length of the line segment?
- A line segment has endpoints at #(2 ,1 )# and #(7 , 3 )#. If the line segment is rotated about the origin by # pi /2 #, translated horizontally by # 1 #, and reflected about the x-axis, what will the line segment's new endpoints be?
- A line segment goes from #(2 ,5 )# to #(3 ,2 )#. The line segment is dilated about #(5 ,4 )# by a factor of #3#. Then the line segment is reflected across the lines #x = 4# and #y=-2#, in that order. How far are the new endpoints form the origin?
- A line segment has endpoints at #(1 ,4 )# and #(3 ,4 )#. The line segment is dilated by a factor of #6 # around #(2 ,5 )#. What are the new endpoints and length of the line segment?
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