1. Identify the point where all lines intersect; this is the origin point K.
2. Observe that lines are extending in various directions from point K.
3. Determine the direction of each line from the origin K.
4. Note that lines extending to the left are in the negative direction, and those extending to the right are in the positive direction.
5. Similarly, lines extending upward are in the positive direction, and those extending downward are in the negative direction.
6. Identify the points on each line: A, B, C, D, E, F, G, H, I, J, L, and K.
7. Recognize that points A, B, C, D, E, F, G, H, I, J, L are all located on rays extending from the origin K.
8. Since all lines pass through K, and K is the origin, the coordinates of K are (0, 0).
9. The direction of each ray can be determined by the position of the points on the line relative to K.
10. For example, point A is on a line going to the upper left, so it is in the second quadrant.
11. Point B is on a line going to the upper left but closer to the origin, so it is also in the second quadrant.
12. Point C is on a line going upward, so it is in the positive y-direction.
13. Point D is on a line going upward, further than C, so it is also in the positive y-direction.
14. Point E is on a line going to the upper right, so it is in the first quadrant.
15. Point F is on a line going to the upper right, further than E, so it is also in the first quadrant.
16. Point G is on a line going to the upper right, between E and F, so it is also in the first quadrant.
17. Point H is on a line going to the right, so it is in the positive x-direction.
18. Point I is on a line going to the lower right, so it is in the fourth quadrant.
19. Point J is on a line going downward, so it is in the negative y-direction.
20. Point L is on a line going to the left, so it is in the negative x-direction.
21. Since all lines pass through K, and K is the origin, the coordinates of K are (0, 0).
22. The solution involves identifying the origin and the direction of each ray from the origin.
23. The answer is that the origin point K has coordinates (0, 0).
Parent Tip: Review the logic above to help your child master the concept of vertical and adjacent angles worksheet.
