Using proportions, it is found that:
a. Rectangle A is a scaled copy of Rectangle B, with a scale factor of 0.8.
b. Rectangle B is a scaled copy of Rectangle A, with a scale factor of 1.25.
c. Rectangle A is not a scaled copy of Rectangle C.
d. Rectangle C length is double that of rectangle B, but the width is not double.
What is a proportion?
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
Two figures are scaled copies if their side lengths are proportional.
Hence:
a) Rectangle A is a scaled copy of Rectangle B, with a scale factor of 0.8. (because 12/15 = 8/10 = 0.8).
b) Rectangle B is a scaled copy of Rectangle A, with a scale factor of 1.25. (because 15/12 = 10/8 = 1.25).
c) Rectangle A is not a scaled copy of Rectangle C. (because 12/30 is different of 8/15).
d) Rectangle C length is double that of rectangle B, but the width is not double. (30/15 = 2, 15/10 is not 2).
More can be learned about proportions at https://brainly.com/question/24372153
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