Question

figure abcd is dilated from point q, the center of dilation. write the relationship between the corresponding side lengths as a fraction.
\\( \frac { m n } { a b } = \\) ?
\\( \frac { 2 } { 8 } \\)
\\( \frac { 8 } { 2 } \\)
\\( \frac { 2 } { 2 } \\)
\\( \frac { 8 } { 8 } \\)

Explanation:

Step1: Count the length of MN

By counting the grid units, \( MN = 2\) units.

Step2: Count the length of AB

By counting the grid units, \( AB = 8\) units.

Step3: Find the fraction \(\frac{MN}{AB}\)

Substitute the values of \(MN\) and \(AB\) into the fraction: \(\frac{MN}{AB}=\frac{2}{8}\)

Answer:

\(\frac{2}{8}\)