Chapter 9.4, Problem 52SPR

To determine

To graph: The figure and its image.

Answer to Problem 52SPR

The required diagram is shown in Figure 1.

Explanation of Solution

Given:

  $\Delta FGH$ with vertices $F\left(1,-4\right),G\left(3,-1\right)\text{ and }H\left(7,-1\right);\langle 2,6\rangle$

Calculation:

The transition is given as, <2,6>

Thus,

  $\begin{array}{l}\left(x,y\right)\to \left(x+2,y+6\right)\\ F\left(1,-4\right)\to F\text{'}\left(3,2\right)\\ G\left(3,-1\right)\to G\text{'}\left(5,5\right)\\ H\left(7,-1\right)\to H\text{'}\left(9,5\right)\end{array}$

Graph both the triangles.

  

Figure 1

Thus, the required diagram is shown in Figure 1.