Question

Geometry Describe the transformation using academic language and specific numbers in the text box what are they asking for?

Answer 1

1. Use the given rule to find the coordinates of A'B'C':

`\begin{gathered} (x,y)\rightarrow(x,-y) \\ \\ A(2,-3)\rightarrow A^(\prime)(2,-(-3)) \\ A^(\prime)(2,3) \\ \\ B(4,-2)\rightarrow B^(\prime)(4,-(-2)) \\ B^(\prime)(4,2) \\ \\ C(2,-5)\rightarrow C^(\prime)(2,-(-5)) \\ C^(\prime)(2,5) \end{gathered}`

2. Graph:

3. Description:

The given transformation is a reflection over x-axis. Points in the image have the same x coordinate than the points in the preimage, but the y coordiante changes of sign (it changes from one side to another of the x-axis)

Then, triangle ABC is refelcted over x-axis to get triangle A'B'C'