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

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A is a scale drawing of B because all linear measures in A are multiplied by a consistent scale factor of 52/125 to obtain B. Since the scale factor from A to B is 41.6%, which is less than 1, A is a reduction of B. Conversely, the scale factor from B to A is 125/52, which is greater than 1, indicating that B is an enlargement of A. The justification hinges on the relationship between the scale factors and the definitions of scale drawings and enlargements. Understanding these relationships clarifies the size comparison between the two drawings.
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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