Question

Elias's teacher has given him a rectangle that is 15 feet by 20 feet. She has asked him to create a new rectangle using a scale factor of 8/3. Elias says that will be a reduction because the scale factor is a fraction. Is he correct? Explain.

Answer 1

He is wrong. A transformation is a reduction when the scale factor is between -1 and 1. If the scale factor is greater than 1, then it's a dilation.

In this case, the scale factor is a fraction, but fractions can represent numbers outsise the [-1,1] interval.

In this case, in fact, 8/3 is an improper fraction, meaning exactly that it represents a number greater than 1.

So, this transformation is a dilation, becase the scale factor 8/3 is greater than 1.

Answer 2

Answer:

Elias is not correct. A scale factor of 8/3 is an enlargement because it is greater than 1. A reduction has a scale factor between 0 and 1.

I hope this helps. could I please have a brainliest? It would mean a whole lot to me.