Let’s solve this step by step.
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Part 1: Write the ordered pair for each point on the coordinate plane.
We read coordinates as (x, y) — x is horizontal (left/right), y is vertical (up/down).
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Point A: Go right 3, up 3 →
(3, 3)
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Point B: Go left 2, down 5 →
(-2, -5)
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Point C: Go right 1, down 4 →
(1, -4)
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Point D: Go right 1, up 5 →
(1, 5)
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Point E: Go left 2, on the x-axis →
(-2, 0)
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Point F: Go right 5, down 1 →
(5, -1)
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Point G: Go left 2, up 4 →
(-2, 4)
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Point H: Go left 4, up 2 →
(-4, 2)
✔ Double-checking:
- A: x=3, y=3 → correct
- B: x=-2, y=-5 → correct
- C: x=1, y=-4 → correct
- D: x=1, y=5 → correct
- E: x=-2, y=0 → correct
- F: x=5, y=-1 → correct
- G: x=-2, y=4 → correct
- H: x=-4, y=2 → correct
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Part 2: Plot and label the following points
*(You would do this on paper — we’ll just list them so you know where they go)*
- Q(4,1): Right 4, Up 1
- R(3,-3): Right 3, Down 3
- S(-5,-2): Left 5, Down 2
- T(0,3): On y-axis, Up 3
- U(-3,5): Left 3, Up 5
- V(2,0): On x-axis, Right 2
- W(-1,-4): Left 1, Down 4
- X(4,-6): Right 4, Down 6
*(No final answer needed here since it’s plotting — but we’ll use these in next part.)*
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Part 3: Write the quadrant that each point is found in.
Quadrants are numbered counter-clockwise starting from top-right:
- Quadrant I: (+, +)
- Quadrant II: (-, +)
- Quadrant III: (-, -)
- Quadrant IV: (+, -)
Points on axes are NOT in any quadrant.
Now check each:
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H(-4, 2) → x negative, y positive →
Quadrant II
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D(1, 5) → both positive →
Quadrant I
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B(-2, -5) → both negative →
Quadrant III
-
S(-5, -2) → both negative →
Quadrant III
-
F(5, -1) → x positive, y negative →
Quadrant IV
-
Q(4, 1) → both positive →
Quadrant I
-
C(1, -4) → x positive, y negative →
Quadrant IV
-
U(-3, 5) → x negative, y positive →
Quadrant II
✔ All checked.
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Challenge!
Plot Y(-3.5, -1.5)
→ Go left 3.5 (halfway between -3 and -4), down 1.5 (halfway between -1 and -2)
Both x and y are negative →
Quadrant III
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Final Answer:
Ordered Pairs:
A (3, 3)
B (-2, -5)
C (1, -4)
D (1, 5)
E (-2, 0)
F (5, -1)
G (-2, 4)
H (-4, 2)
Quadrants:
H → Quadrant II
D → Quadrant I
B → Quadrant III
S → Quadrant III
F → Quadrant IV
Q → Quadrant I
C → Quadrant IV
U → Quadrant II
Challenge:
Point Y(-3.5, -1.5) is in →
Quadrant III
Parent Tip: Review the logic above to help your child master the concept of cartesian plane worksheet.