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An Exercise in Changing Scales

An Exercise in Changing Scales. Would the new scale create a larger or smaller scale drawing as compared to the original drawing? How would you use the scale factor between SD1 to SD2 to calculate the new scale drawing lengths without having to get the actual measurement first? .

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An Exercise in Changing Scales

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  1. An Exercise in Changing Scales

  2. Would the new scale create a larger or smaller scale drawing as compared to the original drawing? • How would you use the scale factor between SD1 to SD2 to calculate the new scale drawing lengths without having to get the actual measurement first?

  3. How can we go about proving that the new scale drawing (SD2) is actually a scale drawing of the original room? • The scale lengths of SD2 have to be proportional to the actual lengths. We need to find the constant of proportionality, the scale factor

  4. How do we find the new scale factor? • If the actual measurement wasn’t known, how could we find it?

  5. You are going to reproduce this figure in two different scale factors: Reproduce using a scale factor of ¾ Reproduce using a scale factor of 2

  6. If the longest side of the trapezoid was actually 10 cm, what is the scale factor between the original shape and the scale drawing shown before (where the longest side was 7)?

  7. Why might you want to produce a scale drawing of a different scale? • How do you produce another scale drawing given the original scale drawing and a different scale? • How can you tell if a new scale drawing is a scale drawing of the original figure? • How can the scale factor of the new drawing to the original figure be determined?

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