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