The value of r is given from the combined scale factor transforms ABCD to
A''B'C''D'' and the scale factor that transforms ABCD to A'B'C'D'.
The Correct Response;
- [tex]\displaystyle \underline{The \ scale \ factor \ r \ is \ \frac{1}{2} }[/tex]
Method by which the value of r is found;
Scale factor of dilation of square ABCD to give the image A'B'C'D' = r
Scale factor of dilation to give square A''B''C''D'' from A'B'C'D' = 1/4
Side lengths of square A''B''C''D'' = 1/8 × Side lengths of square ABCD
Required:
The value of the scale factor r.
Solution:
From the question, we have;
Scale factor of dilation of square ABCD to give the image A''B''C''D'' = 1/8
Combining the sale factors gives;
- [tex]\displaystyle \mathbf{r \times \frac{1}{4} } = \frac{1}{8}[/tex]
[tex]\displaystyle r = 4 \times \frac{1}{8} = \frac{1}{2}[/tex]
- [tex]\displaystyle The \ scale \ factor \ \underline{ r = \frac{1}{2} }[/tex]
Learn more about the scale factor of a dilation here:
https://brainly.com/question/10618542
