Question

Nov 28,Quadrilateral ABCD is dilated by a scale factor of to form quadrilateral A'B'C'D'.What is the measure of side DA?Dal1515301B2162А

Answer 1

The quadrilateral ABCD was dilated by a scale factor of 3/4 to form the quadrilateral A'B'C'D'

This means that each side of the quadrilateral was multiplied by 3/4 to make the dilation.

You know that the scale factor is 3/4 and the length of D'A' is equal to 30 units, then:

`\begin{gathered} D^(\prime)A^(\prime)=(3)/(4)DA \\ 30=(3)/(4)DA \end{gathered}`

Multiply both sides by the reciprocal of 3/4

`\begin{gathered} 30\cdot(4)/(3)=((4)/(3)\cdot(3)/(4))DA \\ 40=DA \end{gathered}`

The length of side DA is 40 units.