Question

is rectangle d a scaled copy of rectangle c? fill in the corresponding side lengths for rectangle d. side length in rectangle c corresponding side length in rectangle d scale factor 3? 8?

Explanation:

Step1: Find the scale - factor for the known side lengths

The known side lengths are 8 in Rectangle C and 4 in Rectangle D. The scale factor $k$ is found by dividing the side - length of Rectangle D by the side - length of Rectangle C. So, $k=\frac{4}{8}=\frac{1}{2}$.

Step2: Find the corresponding side - length for the side of length 3 in Rectangle C

Multiply the side - length of 3 in Rectangle C by the scale factor $\frac{1}{2}$. The corresponding side - length in Rectangle D is $3\times\frac{1}{2}=1.5$.

Step3: Fill in the table

For the side - length of 3 in Rectangle C, the corresponding side - length in Rectangle D is 1.5 and the scale factor is $\frac{1}{2}$. For the side - length of 8 in Rectangle C, the corresponding side - length in Rectangle D is 4 and the scale factor is $\frac{1}{2}$.

Answer:

Side Length in Rectangle C	Corresponding Side Length in Rectangle D	Scale Factor
8	4	$\frac{1}{2}$