Chapter 13.9, Problem 7ST2

To determine

To find: The coordinates of the point $J$ without introducing new letters.

Answer to Problem 7ST2

The coordinates of the point $J$ are $\left(g+c,h\right)$ .

Explanation of Solution

Given information:

The parallelogram is shown below:

  

Calculation:

As the given quadrilateral is a parallelogram. So, the length of opposite sides of parallelogram is equal.

The length of the side joining the origin and point with coordinates $\left(c,0\right)$ is $c$ . So, the length of the side joining the point with coordinates $\left(g,h\right)$ and $J$ is also $c$ .

The point $J$ is parallel to the point with coordinates $\left(g,h\right)$ at a distance of $c$ units.

So, the $y$ coordinate of the point $J$ is same as point with coordinates $\left(g,h\right)$ and $x$ coordinate is $c$ more than the $x$ coordinate of the point with coordinates $\left(g,h\right)$ .

Therefore, the coordinates of the point $J$ are $\left(g+c,h\right)$ .