Question

1. rectangle a has length 12 and width 8. rectangle b has length 15 and width 10. rectangle c has length 30 and width 15. a. is rectangle a a scaled copy of rectangle b? if so, what is the scale factor? b. is rectangle a scaled copy of rectangle? if so, what is the scale factor? c. explain how you know that rectangle c is not a scaled copy of rectangle

Explanation:

Step1: Check if Rectangle A is a scaled copy of Rectangle B

For a rectangle to be a scaled copy, the ratios of corresponding sides should be equal.
For length: \(\frac{12}{15}=\frac{4}{5}\)
For width: \(\frac{8}{10}=\frac{4}{5}\)
Since the ratios of length and width are equal, Rectangle A is a scaled copy of Rectangle B.
The scale factor is \(\frac{4}{5}\)

Step2: Check if Rectangle C is a scaled copy of Rectangle B

For length: \(\frac{30}{15} = 2\)
For width: \(\frac{15}{10}=\frac{3}{2}\)
Since \(\frac{30}{15}
eq\frac{15}{10}\), Rectangle C is not a scaled copy of Rectangle B

Answer:

A. Yes, Rectangle A is a scaled copy of Rectangle B. The scale factor is \(\frac{4}{5}\)
B. No, Rectangle C is not a scaled copy of Rectangle B because the ratios of their corresponding sides (length and width) are not equal. For length \(\frac{30}{15} = 2\) and for width \(\frac{15}{10}=\frac{3}{2}\) and \(2
eq\frac{3}{2}\)