CARTESIAN COORDINATE SYSTEM ( GRADE 8 ) online exercise for | Live ... - Free Printable

Problem Analysis:

The worksheet involves working with a coordinate plane and ordered pairs. The tasks are divided into three sections:
1. Identifying points for given ordered pairs.
2. Writing ordered pairs for given points.
3. Plotting given points on the coordinate grid.

We will solve each section step by step.

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Section 1: Identify the point located at each ordered pair.

#### Instructions:
For each ordered pair, determine which point (labeled A, B, C, etc.) is located at that position on the coordinate plane.

#### Solutions:
1. (3, -2):
- Move 3 units to the right from the origin.
- Move 2 units down.
- The point is B.

2. (2, 3):
- Move 2 units to the right from the origin.
- Move 3 units up.
- The point is D.

3. (-5, 5):
- Move 5 units to the left from the origin.
- Move 5 units up.
- The point is O.

4. (-7, -8):
- Move 7 units to the left from the origin.
- Move 8 units down.
- The point is H.

5. (-4, 4):
- Move 4 units to the left from the origin.
- Move 4 units up.
- The point is C.

6. (-5, 0):
- Move 5 units to the left from the origin.
- Stay on the x-axis (no vertical movement).
- The point is F.

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Section 2: Write the ordered pair for each given point.

#### Instructions:
For each labeled point (E, M, P, etc.), determine its coordinates (x, y).

#### Solutions:
7. Point E:
- It is 3 units to the left of the origin.
- It is 2 units below the origin.
- Ordered pair: (-3, -2).

8. Point M:
- It is directly on the y-axis, 6 units below the origin.
- Ordered pair: (0, -6).

9. Point P:
- It is 8 units to the right of the origin.
- It is on the x-axis (no vertical movement).
- Ordered pair: (8, 0).

10. Point G:
- It is 7 units to the right of the origin.
- It is 8 units above the origin.
- Ordered pair: (7, 8).

11. Point Q:
- It is 7 units to the left of the origin.
- It is on the x-axis (no vertical movement).
- Ordered pair: (-7, 0).

12. Point N:
- It is 5 units to the right of the origin.
- It is 5 units above the origin.
- Ordered pair: (5, 5).

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Section 3: Plot the following points on the coordinate grid.

#### Instructions:
Plot the given points on the coordinate grid.

#### Solutions:
13. S (-6, -3):
- Move 6 units to the left from the origin.
- Move 3 units down.
- Mark the point.

14. T (2, -4):
- Move 2 units to the right from the origin.
- Move 4 units down.
- Mark the point.

15. U (5, 8):
- Move 5 units to the right from the origin.
- Move 8 units up.
- Mark the point.

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Final Answers:

1. (3, -2) → B
2. (2, 3) → D
3. (-5, 5) → O
4. (-7, -8) → H
5. (-4, 4) → C
6. (-5, 0) → F

7. Point E → (-3, -2)
8. Point M → (0, -6)
9. Point P → (8, 0)
10. Point G → (7, 8)
11. Point Q → (-7, 0)
12. Point N → (5, 5)

13. S (-6, -3): Plot as described.
14. T (2, -4): Plot as described.
15. U (5, 8): Plot as described.

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Final Answer Box:

\[
\boxed{
\begin{array}{ll}
1. & \text{B} \\
2. & \text{D} \\
3. & \text{O} \\
4. & \text{H} \\
5. & \text{C} \\
6. & \text{F} \\
7. & (-3, -2) \\
8. & (0, -6) \\
9. & (8, 0) \\
10. & (7, 8) \\
11. & (-7, 0) \\
12. & (5, 5) \\
\end{array}
}
\]