1. Different quadrants, so add the absolute values.
Horizontal distance from (2, 1) to y-axis: |2| = 2
Horizontal distance from (2, 1) to x-axis: |1| = 1
Distance from (2, 1) to (-3, 2): |2| + |-3| = 5 and |1| + |2| = 3, so 5 + 3 = 8.
2. Same quadrant, so subtract the absolute values.
Vertical distance from (-3, 3) to (-3, 1): |3| - |1| = 2
Distance from (-3, 3) to (-3, 1): |3| - |1| = 2, so 2.
3. (2, 1) and (2, -4) — same quadrant? No, different quadrants vertically. Distance: |1| + |-4| = 5.
4. (2, -6) and (-4, -4) — different quadrants horizontally and vertically. Distance: |2| + |-4| = 6 and |-6| + |-4| = 10, so 6 + 10 = 16.
5. (0, 5) and (0, -5) — same vertical line, different quadrants. Distance: |5| + |-5| = 10.
6. (1, 1) and (1, -3) — same vertical line, different quadrants. Distance: |1| + |-3| = 4.
7. (-2, -5) and (-2, -1) — same quadrant. Distance: |-5| - |-1| = 4.
8. (-7, 3) and (5, 3) — same horizontal line, different quadrants. Distance: |-7| + |5| = 12.
9. (3, -6) and (3, -10) — same quadrant. Distance: |-6| - |-10| = 4? Wait, |-10| > |-6|, so |-10| - |-6| = 4.
10. (8, 8) and (8, -8) — same vertical line, different quadrants. Distance: |8| + |-8| = 16.
Parent Tip: Review the logic above to help your child master the concept of distance on the coordinate plane worksheet.
