What is the justification for A being a scale drawing of B and an enlargement?

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SUMMARY

The discussion clarifies the justification for A being a scale drawing of B and an enlargement. The scale factor from A to B is 41.6%, indicating that all linear measures in A are multiplied by 52/125 to obtain B. Since the scale factor from B to A is 125/52, which is greater than 1, this confirms that A is indeed a reduction of B, while B is an enlargement of A. The consistent application of scale factors validates the classification of these drawings.

PREREQUISITES
  • Understanding of scale factors in geometry
  • Knowledge of linear measurements and their transformations
  • Familiarity with the concepts of enlargement and reduction
  • Basic skills in interpreting geometric drawings
NEXT STEPS
  • Research the properties of scale drawings in geometry
  • Learn about the mathematical implications of scale factors
  • Explore examples of enlargements and reductions in geometric figures
  • Study the relationship between linear measures and area in scale drawings
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Students studying geometry, educators teaching scale drawings, and anyone interested in understanding the principles of enlargement and reduction in geometric contexts.

woof123
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I'm not following what justifications mean and which one is bigger or smaller...

There is a drawing in this problem but here's the rest:

"The scale factor from A to B is 41.6%. Justify why A is a scale drawing of B and why it's an enlargement of B. Include the scale factor in your justification"
 
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If the scale factor from A to B is 41.6%, then all linear measures in A are multiplied by 52/125 to get B. When all linear measures are multiplied by the same scale factor, then the result is a scale drawing. If a scale factor is greater than 1, then the result is an enlargement, whereas if the scale factor is less than 1 then the result is a reduction.

If the scale factor from A to B is 52/125, then the scale factor from B to A is 125/52 > 1.
 

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