Question

Hey, helping my daughter with her HW and I just can't seem to find the answer to this. What is the answer?

Answer 1

In order to identify the transformations, first let's write the coordinates of each point:

`\begin{gathered} A(-6,8)\to A^(\prime)(6,-8)_{} \\ B(-6,2)\to B^(\prime)(6,-2)_{} \\ C(1,2)\to C^(\prime)(-1,-2) \\ D(1,8)\to D^(\prime)(-1,-8) \end{gathered}`

We can see that the coordinates of A, B, C and D changed the signals of x and y:

`(x,y)\to(-x,-y)`

This means the transformation is a reflection about the origin.

Another way of transforming ABCD into A'B'C'D would be a reflection about the point (-2.5, 5), which is the center of ABCD, and then a translation of 5 units right and 10 units down.