Chapter 9.6, Problem 49SPR

To determine

To find: The transformation

Answer to Problem 49SPR

The transformation is mentioned below.

Explanation of Solution

The coordinates of triangle ABC are:

  $\begin{array}{l}A\left(-6,-6\right)\\ B\left(-5,2\right)\\ C\left(-1,-4\right)\end{array}$

The coordinates of triangle $A^{\prime }{B}^{\prime }{C}^{\prime }$ are:

  $\begin{array}{l}{A}^{\prime }\left(-7,2\right)\\ B^{\prime }\left(-6,6\right)\\ C^{\prime }\left(-2,4\right)\end{array}$

It is clear that the triangle $A^{\prime }{B}^{\prime }{C}^{\prime }$ is translated along $\left(-1,8\right)$ .

The coordinates of triangle $A^{″}{B}^{″}{C}^{″}$ are:

  $\begin{array}{l}{A}^{″}\left(7,2\right)\\ B^{″}\left(6,6\right)\\ C^{″}\left(2,4\right)\end{array}$

It is clear that the triangle $A^{″}{B}^{″}{C}^{″}$ is translated along $\left(-1,8\right)$ and reflection of the triangle on the y axis.