Problem Analysis:
The task involves plotting a series of points on a four-quadrant graph and connecting them in the order given to form a shape. The points are provided in a sequence, and we need to plot each point and connect them step by step.
#### Given Points:
1. (3, 4)
2. (8, 4)
3. (8, 6)
4. (9, 6)
5. (9, 7)
6. (8, 7)
7. (8, 8)
8. (7, 8)
9. (7, 7)
10. (6, 7)
11. (6, 6)
12. (5, 6)
13. (5, 4)
14. (3, 4)
#### Instructions:
- Plot each point on the graph.
- Connect the points in the order they are listed.
- Identify the shape formed by the connected points.
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Step-by-Step Solution:
#### 1. Plotting the Points:
We will plot each point on the four-quadrant graph. The coordinates are given as (x, y), where:
- The x-coordinate determines the horizontal position (right for positive, left for negative).
- The y-coordinate determines the vertical position (up for positive, down for negative).
The points to plot are:
1. (3, 4)
2. (8, 4)
3. (8, 6)
4. (9, 6)
5. (9, 7)
6. (8, 7)
7. (8, 8)
8. (7, 8)
9. (7, 7)
10. (6, 7)
11. (6, 6)
12. (5, 6)
13. (5, 4)
14. (3, 4)
#### 2. Connecting the Points:
After plotting all the points, we connect them in the order they are listed. This means drawing a line segment from each point to the next point in the sequence.
#### 3. Identifying the Shape:
Once all the points are connected, we observe the resulting shape. The sequence of points forms a closed figure.
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Observations:
- The points start at (3, 4) and move horizontally to the right to (8, 4).
- From (8, 4), the path moves vertically up to (8, 6), then diagonally to the right to (9, 6), and continues upward to (9, 7).
- The path then moves leftward and downward, forming a zigzag pattern until it returns to the starting point (3, 4).
The resulting shape is a
house with a triangular roof and a rectangular base.
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Final Answer:
The shape formed by connecting the points is a
house.
$$
\boxed{\text{House}}
$$
Parent Tip: Review the logic above to help your child master the concept of graphing puzzles.
