Answer:
Check below
Explanation:
That's too bad you haven't attached a rectangle.
Here's an example, with the data you've typed in.
1) When we dilate a rectangle we either grows it or shrink it through a scale factor.
Check the first picture below.
The New Dilated Rectangle A'B'C'D' will follow its coordinates, when the Center of Dilation is at its origin(Middle):
![D_(A'B'C'D')=(1)/(2)(x,y)](https://img.qammunity.org/2021/formulas/mathematics/college/h5znmose6n307a78s91coe8bh9djkpmxks.png)
2) But In this question, B is the center of Dilation. So, Since B is the Dilation Point B=B' . And More importantly:
![\bar{AB}=(1)/(2)\bar{A'B'}\\\bar{CD}=(1)/(2)\bar{C'D'}\\\bar{AC}=(1)/(2)\bar{A'C'}\\\bar{CD}=(1)/(2)\bar{C'D'}\\](https://img.qammunity.org/2021/formulas/mathematics/college/79dc21zwge5mbgk1rygwms68jyqpkeivgw.png)
3) So check the pictures below for a better understanding.