Question

1. dilate the figure from center o by a scale factor r = 2. make sure to use enough points to make a good image of the original figure.
2. describe the process for selecting points when dilating a curved figure.
3. a figure was dilated from center o by a scale factor of r = 5. what scale factor would shrink the dilated figure back to the original size?
4. a figure has been dilated from center o by a scale factor of r = $\frac{7}{6}$. what scale factor would shrink the dilated figure back to the original size?
5. a figure has been dilated from center o by a scale factor of r = $\frac{3}{10}$. what scale factor would magnify the dilated figure back to the original size?

Explanation:

Step1: Recall dilation concept

Dilation is a transformation that changes the size of a figure. If a figure is dilated by a scale - factor $r$, to reverse the dilation and get back to the original size, we use the reciprocal of the scale - factor.

Step2: Answer question 3

Given $r = 5$, the scale factor to shrink the dilated figure back to the original size is $\frac{1}{5}$ since $5\times\frac{1}{5}=1$.

Step3: Answer question 4

Given $r=\frac{7}{6}$, the scale factor to shrink the dilated figure back to the original size is $\frac{6}{7}$ because $\frac{7}{6}\times\frac{6}{7} = 1$.

Step4: Answer question 5

Given $r=\frac{3}{10}$, the scale factor to magnify the dilated figure back to the original size is $\frac{10}{3}$ as $\frac{3}{10}\times\frac{10}{3}=1$.

Answer:

1. $\frac{1}{5}$
2. $\frac{6}{7}$
3. $\frac{10}{3}$