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

This means that A is an enlargement of B. Therefore, A is a scale drawing of B and an enlargement with a scale factor of 41.6%. In summary, A is a scale drawing of B with a scale factor of 41.6% and also an enlargement because the scale factor is greater than 1.
  • #1
woof123
9
0
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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  • #2
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.
 

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

What is a scale factor in word problems?

A scale factor in word problems is a numerical value that represents the ratio of corresponding measurements in a proportion. It is used to scale up or down the dimensions of an object or situation in a word problem.

How do you find the scale factor in a word problem?

To find the scale factor in a word problem, you need to identify two corresponding measurements in the problem and then divide the larger measurement by the smaller one. This will give you the scale factor for the problem.

What is the purpose of using scale factors in word problems?

The purpose of using scale factors in word problems is to accurately represent the relationship between measurements in a proportion. It allows us to scale up or down the dimensions of an object or situation in a problem without changing the proportions.

Can scale factors be greater than 1 in word problems?

Yes, scale factors can be greater than 1 in word problems. This indicates that the dimensions of the object or situation are being scaled up. For example, a scale factor of 2 would mean that the dimensions are being doubled.

How do scale factors affect the solution of a word problem?

Scale factors affect the solution of a word problem by changing the proportions and dimensions of the object or situation. They allow us to accurately represent the relationship between measurements and find an appropriate solution to the problem.

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