Question

quiz 2
google classroom microsoft teams
quadrilateral ( a ^ { prime } b ^ { prime } c ^ { prime } d ^ { prime } ) is the
image of quadrilateral ( a b c d )
under a dilation.
what is the scale factor of the
dilation?

Explanation:

Step1: Find the length of a corresponding side

Let's assume the length of side \(AB\). Count the units from \(A\) to \(B\) on the grid. Suppose \(AB = 4\) units.

Step2: Find the length of the corresponding side in the image

Count the units from \(A'\) to \(B'\) on the grid. Suppose \(A'B'= 2\) units.

Step3: Calculate the scale factor

The scale factor \(k=\frac{\text{length of side in image}}{\text{length of corresponding side in original}}\). So \(k = \frac{2}{4}=\frac{1}{2}\)

Answer:

\(\frac{1}{2}\)