Chapter 9.2, Problem 5CYU

To determine

To find: The $△DFG$ with vertices $D\left(-8,8\right),F\left(-10,4\right)$ and $G\left(-7,6\right);\left(5-2\right)$ .

Answer to Problem 5CYU

The $△DFG$ with vertices $D\left(-8,8\right),F\left(-10,4\right)$ and $G\left(-7,6\right);\left(5-2\right)$ in the above.

Explanation of Solution

Given information:

The given $△DFG$ with vertices $D\left(-8,8\right),F\left(-10,4\right)$ and $G\left(-7,6\right);\left(5-2\right)$ .

Calculation:

Consider the translate vector.

  $\left(x,y\right)\to \left(x+a,y+b\right)$

The vector indicates a translation of $7$ units to the right and $1$ unit up.

  $\begin{array}{c}\left(x,y\right)\to \left(x+5,y-2\right)\\ D\left(-8,8\right)\to D\text{'}\left(-3,6\right)\\ F\left(-10,4\right)\to F\text{'}\left(-5,2\right)\\ G\left(-7,6\right)\to G\text{'}\left(-2,4\right)\end{array}$

The graph of the figure (1) as shown in

  

Figure (1)

Therefore, the $\Delta DFG$ with vertices $D\left(-8,8\right),F\left(-10,4\right),$ and $G\left(-7,6\right)$ ; $\left(5,-2\right)$ in the above.