Chapter 9.1, Problem 3ACYP

To determine

To graph the trapezoid along the given equation of line.

Explanation of Solution

Given:

Thevertices of trapezoid are $R(-1,1),S(4,1),T(4,-1)$ and $V(-1,-3)$ along the line $y=-3$

Calculation:

To reflect the figure along the line $y=-3$ , just reflect each vertex in the x-axis by adding their y-coordinates by $-3$ . In symbols $(x,y)\to (x,y-3)$ , so the image vertices are-

  $\begin{array}{l}R(-1,1)\to R\text{'}(-1,-2)\\ S(4,1)\to S\text{'}(4,-2)\\ T(4,-1)\to T\text{'}(4,-4)\\ V(-1,-3)\to V\text{'}(-1,-6)\end{array}$