Ordered Pairs and Coordinate Plane Worksheets - Free Printable

Problem Description:

The task involves plotting points on a coordinate grid and identifying shapes formed by these points. The points are given in the form of ordered pairs \((x, y)\), and the goal is to plot them accurately on the grid and then determine which shape each set of points forms.

Step-by-Step Solution:

#### Part A: Plot Each Point on the Coordinate Grid
We are given several points to plot on the coordinate grid. Let's plot each point one by one:

1. Point \( P_1(7, 2) \):
- Move 7 units to the right from the origin (0, 0).
- Move 2 units up.
- Mark the point at \((7, 2)\).

2. Point \( P_2(8, 3) \):
- Move 8 units to the right from the origin.
- Move 3 units up.
- Mark the point at \((8, 3)\).

3. Point \( P_3(9, 5) \):
- Move 9 units to the right from the origin.
- Move 5 units up.
- Mark the point at \((9, 5)\).

4. Point \( P_4(8, 7) \):
- Move 8 units to the right from the origin.
- Move 7 units up.
- Mark the point at \((8, 7)\).

5. Point \( P_5(7, 6) \):
- Move 7 units to the right from the origin.
- Move 6 units up.
- Mark the point at \((7, 6)\).

6. Point \( P_6(5, 6) \):
- Move 5 units to the right from the origin.
- Move 6 units up.
- Mark the point at \((5, 6)\).

7. Point \( P_7(4, 7) \):
- Move 4 units to the right from the origin.
- Move 7 units up.
- Mark the point at \((4, 7)\).

8. Point \( P_8(3, 5) \):
- Move 3 units to the right from the origin.
- Move 5 units up.
- Mark the point at \((3, 5)\).

9. Point \( P_9(4, 3) \):
- Move 4 units to the right from the origin.
- Move 3 units up.
- Mark the point at \((4, 3)\).

10. Point \( P_{10}(5, 2) \):
- Move 5 units to the right from the origin.
- Move 2 units up.
- Mark the point at \((5, 2)\).

#### Part B: Form Each Shape on the Coordinate Grid
Now, we need to connect the plotted points to form specific shapes. The problem specifies which points to connect for each shape. Let's identify the shapes:

1. Shape 11: Diamond
- Points: \( P_1(7, 2) \), \( P_2(8, 3) \), \( P_3(9, 5) \), \( P_4(8, 7) \), \( P_5(7, 6) \), \( P_6(5, 6) \), \( P_7(4, 7) \), \( P_8(3, 5) \), \( P_9(4, 3) \), \( P_{10}(5, 2) \)
- Connect these points in order to form a diamond shape.

2. Shape 12: Square
- Points: \( P_1(7, 2) \), \( P_2(8, 3) \), \( P_3(9, 5) \), \( P_4(8, 7) \), \( P_5(7, 6) \)
- Connect these points in order to form a square.

3. Shape 13: Triangle
- Points: \( P_6(5, 6) \), \( P_7(4, 7) \), \( P_8(3, 5) \)
- Connect these points in order to form a triangle.

4. Shape 14: Rectangle
- Points: \( P_9(4, 3) \), \( P_{10}(5, 2) \), \( P_1(7, 2) \), \( P_2(8, 3) \)
- Connect these points in order to form a rectangle.

5. Shape 15: Parallelogram
- Points: \( P_3(9, 5) \), \( P_4(8, 7) \), \( P_5(7, 6) \), \( P_6(5, 6) \)
- Connect these points in order to form a parallelogram.

#### Final Answer:
After plotting all the points and connecting them as specified, the shapes are formed as follows:

- Shape 11: Diamond
- Shape 12: Square
- Shape 13: Triangle
- Shape 14: Rectangle
- Shape 15: Parallelogram

Thus, the final answer is:

\[
\boxed{11. \text{Diamond}, 12. \text{Square}, 13. \text{Triangle}, 14. \text{Rectangle}, 15. \text{Parallelogram}}
\]