Think about finding the image of a shape using a pantograph with scale factor 2, and then finding the image of that image with a scale factor 3 pantograph.
How are the original shape and the final image related with respect to lengths? With respect to areas?
English Math!!!
2007-05-25 5:27 am
回答 (1)
2007-05-25 6:13 am
✔ 最佳答案
Let L be the length of the original shape.- From original shape to the first image, since scale factor is 2,
therefore, the length has been doubled, length of the first image = 2L
- From first image to final image, since scale factor is 3,
therefore, the length has been tripled, length of the final image = 2L*3 = 6L
With respect to lengths, the original shape : the final image = 1 : 6
With respect to areas, the original shape : the final image = 1² : 6² = 1 : 36
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