Question

given Given ABC with vertices A(7, 6), B(0, 1), and C(4, 3).a. Reflect ABC across the y-axis to create ABC.b. What are the coordinates of the vertices of ABC?c. Translate ABC by the translation rule (x, y 4) to createABC.d. What are the coordinates of the vertices of ABC?e. What is the single transformation rule that takes ABC ontoABC?

Answer 1

We have the following:

a.

reflect across the y-axis

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

b.

`\begin{gathered} A(-7,6)\rightarrow A^(\prime)(7,6) \\ B(0,1)\rightarrow B^(\prime)(0,1) \\ C(-4,-3)\rightarrow C^(\prime)^{}(4,-3) \end{gathered}`

c.

d.

`\begin{gathered} A^(\prime)(7,6)\rightarrow A^(\doubleprime)(7,2) \\ B^(\prime)(0,1)\rightarrow B^(\doubleprime)(0,-2) \\ C\prime^{}(4,-3)\rightarrow C^(\doubleprime)(4,-7) \end{gathered}`

e.

The transformation is a translation