Given the figure of the triangle DEF.
The coordinates of the triangle are as follows:
![\begin{gathered} D\colon(3,0) \\ E\colon(0,1) \\ F\colon(-2,-1) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ya29skwdrj79l9s1az347182zog8bx4m72.png)
We will find the coordinates of D' when the triangle dilated with a scale factor of 0.5 about the origin
So, the coordinates of D' will be as follows:
![D^(\prime)=0.5D=0.5\cdot(3,0)=(1.5,0)](https://img.qammunity.org/2023/formulas/mathematics/college/u0r35wq43nkjsdrq2qv2yot1wcuzj68kk4.png)
So, the answer will be the coordinates of D' = (1.5, 0)