Chapter 9.2, Problem 4CYU

To determine

To find: The trapezoid $JKLM$ with vertices $J\left(2,4\right),K\left(1,1\right),L\left(4,4\right)$ and $M\left(4,4\right)$ ; $\left(7,1\right)$ .

Answer to Problem 4CYU

The trapezoid $JKLM$ with vertices $J\left(2,4\right),K\left(1,1\right),L\left(4,4\right)$ and $M\left(4,4\right)$ ; $\left(7,1\right)$ in the above solution .

Explanation of Solution

Given information:

The given vector trapezoid $JKLM$ with vertices $J\left(2,4\right),K\left(1,1\right),L\left(4,4\right)$ and $M\left(4,4\right)$ ; $\left(7,1\right)$ .

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.

  $\begin{array}{c}\left(x,y\right)\to \left(x+7,y+1\right)\\ J\left(2,4\right)\to J\text{'}\left(9,5\right)\\ K\left(1,1\right)\to K\text{'}\left(8,2\right)\\ L\left(5,1\right)\to L\text{'}\left(12,2\right)\\ M\left(4,4\right)\to M\text{'}\left(11,5\right)\end{array}$

The graph of the figure (1) as shown in

  

Figure (1)

Therefore the trapezoid $JKLM$ with vertices $J\left(2,4\right),K\left(1,1\right),L\left(4,4\right)$ and $M\left(4,4\right)$ ; $\left(7,1\right)$ in the above solution .