Question

problems 13 to 26 refer to the following diagram. give the coordinates and the quadrant or axis where each point is located. 13. f 14. h 15. a 16. b 17. e 18. c 19. g 20. d

Explanation:

Step1: Recall coordinate - plane rules

In a coordinate - plane, the x - axis is the horizontal axis and the y - axis is the vertical axis. The origin is at (0,0). Points are written as (x,y). Quadrant I: x>0, y>0; Quadrant II: x<0, y>0; Quadrant III: x<0, y<0; Quadrant IV: x>0, y<0. Points on the x - axis have y = 0 and points on the y - axis have x = 0.

Step2: Determine coordinates of point F

Point F is at the origin. So the coordinates of F are (0,0) and it is on both the x - axis and the y - axis.

Step3: Determine coordinates of point H

Point H is 2 units to the right of the y - axis and 2 units above the x - axis. So the coordinates of H are (2,2) and it is in Quadrant I.

Step4: Determine coordinates of point A

Point A is 3 units to the left of the y - axis and 4 units above the x - axis. So the coordinates of A are (-3,4) and it is in Quadrant II.

Step5: Determine coordinates of point B

Point B is 1 unit to the right of the y - axis and 1 unit below the x - axis. So the coordinates of B are (1, - 1) and it is in Quadrant IV.

Step6: Determine coordinates of point E

Point E is 3 units to the left of the y - axis and 3 units below the x - axis. So the coordinates of E are (-3,-3) and it is in Quadrant III.

Step7: Determine coordinates of point C

Point C is 4 units to the right of the y - axis and on the x - axis. So the coordinates of C are (4,0) and it is on the x - axis.

Step8: Determine coordinates of point G

Point G is on the y - axis and 2 units below the x - axis. So the coordinates of G are (0, - 2) and it is on the y - axis.

Step9: Determine coordinates of point D

Point D is 3 units to the right of the y - axis and 3 units below the x - axis. So the coordinates of D are (3,-3) and it is in Quadrant IV.

Answer:

1. F: (0,0), on both x - axis and y - axis
2. H: (2,2), Quadrant I
3. A: (-3,4), Quadrant II
4. B: (1, - 1), Quadrant IV
5. E: (-3,-3), Quadrant III
6. C: (4,0), x - axis
7. G: (0, - 2), y - axis
8. D: (3,-3), Quadrant IV