Mark M. answered • 12/22/15
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Mathematics Teacher - NCLB Highly Qualified
Scale factor is the ratio of corresponding linear measures of similar figures.
The ratio of the areas of two similar figures is as the square of the scale factor.
The ratio of the volumes of two similar figures is as the cube of the scale factor.
36:9
62:32
6:3
2:1
The scale factor is 2:1.
Kevin C.
tutor
Norbert, I agree with Mark. The sides have the scale factor of 2 to 1, as Mark says. In other words, the sides are in that ratio. So the length of the original side is twice as long an the side of the reduced figure.
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12/22/15
Michael J.
I too agree with Mark. After reading his solution and re-reading the question, the change in size of any shape is affected by the sides themselves. The emphasis on area is not accurate in dilation because you can have two shapes that have different areas, but the length of one shape can be the same as the width of the second shape. This also means that the width of one shape could be the same as the length of the second shape. Because of this fact, the two shapes could be the same size based on the areas.
However, if both the length and width of one shape is larger or smaller than both the length and width of the second shape, then the change is size between the shape is clear to see.
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12/23/15
Norbert J. M.
Scale factor (C) is a value such that y=Cx. Solve for "C."
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12/23/15
Norbert J. M.
12/22/15