Question

Quadrilateral ABCD is dilated by a scale factor of to form quadrilateral A'B'C'D'.4What is the measure of side DA?D'15ch1530B'21.2A

Answer 1

When a quadrilateral is dilated by a factor, all its measures are multiplied by that factor.

So, the side DA multiplied by the dilatation factor, 3/4, will be the measure of the side D'A', which is 30.

Thus:

$\begin{gathered} DA\cdot f=D^{\prime}A^{\prime} \\ DA\cdot\frac{3}{4}=30 \\ DA=\frac{4}{3}\cdot30=4\cdot10=40 \end{gathered}$

So, the measure of side DA is 40.