Using the center and a scale factor of 3/2, we can say that the length A'B' will be
[tex]A^{\prime}B^{\prime}=f\cdot AB[/tex]
Where f is the scale factor, then
[tex]\begin{gathered} A^{\prime}B^{\prime}=\frac{3}{2}\cdot4 \\ \\ A^{\prime}B^{\prime}=3\cdot2 \\ \\ A^{\prime}B^{\prime}=6 \end{gathered}[/tex]
The length of A'B' is 6 units.
One of the properties of dilations is that the angles are always the same. Therefore the angle B' is the same angle as B.
