Graphing Points on the Coordinate Plane Worksheets - Free Printable

Problem Overview:

The task involves two main parts:
1. Part A: Plotting points on the coordinate plane.
2. Part B: Drawing shapes at specified coordinates on the coordinate plane.

Let's solve each part step by step.

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Part A: Plotting Points on the Coordinate Plane

#### Instructions:
Plot each of the given points on the coordinate plane. The points are:
1. \( Z(2, 5) \)
2. \( K(5, -3) \)
3. \( U(-3, 4) \)
4. \( H(-2, -2) \)
5. \( R(4, -1) \)
6. \( X(-3, 2) \)
7. \( V(-5, -2) \)
8. \( P(3, 5) \)
9. \( Y(0, 1) \)
10. \( T(1, 2) \)

#### Solution:
To plot a point \((x, y)\) on the coordinate plane:
- The first number \(x\) represents the horizontal position (right if positive, left if negative).
- The second number \(y\) represents the vertical position (up if positive, down if negative).

Let's plot each point:

1. \( Z(2, 5) \):
- Move 2 units to the right from the origin.
- Move 5 units up.
- Mark the point.

2. \( K(5, -3) \):
- Move 5 units to the right from the origin.
- Move 3 units down.
- Mark the point.

3. \( U(-3, 4) \):
- Move 3 units to the left from the origin.
- Move 4 units up.
- Mark the point.

4. \( H(-2, -2) \):
- Move 2 units to the left from the origin.
- Move 2 units down.
- Mark the point.

5. \( R(4, -1) \):
- Move 4 units to the right from the origin.
- Move 1 unit down.
- Mark the point.

6. \( X(-3, 2) \):
- Move 3 units to the left from the origin.
- Move 2 units up.
- Mark the point.

7. \( V(-5, -2) \):
- Move 5 units to the left from the origin.
- Move 2 units down.
- Mark the point.

8. \( P(3, 5) \):
- Move 3 units to the right from the origin.
- Move 5 units up.
- Mark the point.

9. \( Y(0, 1) \):
- Stay at the origin horizontally (0 units right or left).
- Move 1 unit up.
- Mark the point.

10. \( T(1, 2) \):
- Move 1 unit to the right from the origin.
- Move 2 units up.
- Mark the point.

#### Final Answer for Part A:
Plot all the points as described above on the coordinate plane.

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Part B: Drawing Shapes on the Coordinate Plane

#### Instructions:
Draw each shape at the specified coordinates on the coordinate plane. The shapes and their coordinates are:
11. Draw a square at \((-4, -2)\).
12. Draw a circle at \((5, -5)\).
13. Draw a rectangle at \((-3, 1)\).
14. Draw a star at \((5, 4)\).
15. Draw a triangle at \((1, -1)\).

#### Solution:
To draw a shape at a given coordinate \((x, y)\):
- Use the coordinate as the reference point (e.g., the center or a corner of the shape).
- Draw the shape around this reference point.

Let's address each shape:

11. Square at \((-4, -2)\):
- Place the center of the square at \((-4, -2)\).
- Draw a square symmetrically around this point.

12. Circle at \((5, -5)\):
- Place the center of the circle at \((5, -5)\).
- Draw a circle with an appropriate radius around this point.

13. Rectangle at \((-3, 1)\):
- Place one corner or the center of the rectangle at \((-3, 1)\).
- Draw the rectangle symmetrically around this point.

14. Star at \((5, 4)\):
- Place the center of the star at \((5, 4)\).
- Draw the star symmetrically around this point.

15. Triangle at \((1, -1)\):
- Place one vertex or the centroid of the triangle at \((1, -1)\).
- Draw the triangle symmetrically around this point.

#### Final Answer for Part B:
Draw all the shapes as described above on the coordinate plane.

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Final Answer:

\[
\boxed{\text{See explanations above for plotting points and drawing shapes.}}
\]