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(3)/(4)=30 \\ DA=(4)/(3)\cdot30=4\cdot10=40 \end{gathered}`

So, the measure of side DA is 40.