Chapter 13.8, Problem 3CE

To determine

To find the missing coordinates in given figure. 

Answer to Problem 3CE

The missing coordinates are $J\left(0,d\right)\text{ and }K\left(e,0\right)$

Explanation of Solution

Given information: 

JOKL is a trapezoid with coordinates $K\left(?,?\right),J\left(?,d\right),L\left(e,f\right)$

  

Concept used:

Trapezoid has one pair of opposite sides is parallel. Height of trapezoid in length is equal to opposite parallel side of trapezoid.

Explanation:  Vertex O of triangle is at origin so it has coordinates $\left(0,0\right)$

Also vertex K lies on x-axis. So, $y-coordinate$ of K is $0$

Now need to find $x-coordinate$ of K

Similarly J lies on $y-axis$ .So $x-coordinate$ of J is $0$

  

As seen from figure height drawn in trapezoid represents distance of vertex L from y-axis, also in trapezoid pair of opposite sides are parallel so distance of vertex K from O is also e.

Therefore,

Coordinates of K are $\left(e,0\right)$

Hence,

Missing coordinates are K $\left(e,0\right)$ and J $\left(0,d\right)$