Problem Analysis
The task involves graphing a series of line segments on a coordinate grid to reveal an image related to "Spring." The coordinates provided define the endpoints of these line segments. By plotting and connecting these points in order, we can uncover the hidden image.
Solution Approach
1.
Understand the Coordinates: Each pair of coordinates represents the endpoints of a line segment. For example, `(9, 0)` and `(9, 5)` are two points that form a vertical line segment.
2.
Plot the Points: Plot each pair of coordinates on the grid.
3.
Connect the Points: Draw a straight line between each pair of coordinates to form the line segments.
4.
Reveal the Image: After plotting all the line segments, the connected lines should form a recognizable image.
Step-by-Step Solution
#### Coordinates Provided:
The coordinates are grouped into sets of pairs, where each pair defines a line segment. Here they are listed for clarity:
-
First Group:
- `(9, 0)` to `(9, 5)`
- `(9, 5)` to `(7, 8)`
- `(7, 8)` to `(5, 9)`
- `(5, 9)` to `(2, 9)`
- `(2, 9)` to `(3, 6)`
-
Second Group:
- `(3, 6)` to `(5, 5)`
- `(5, 5)` to `(9, 5)`
- `(5, 5)` to `(9, 11)`
- `(9, 11)` to `(10, 12)`
- `(10, 12)` to `(12, 13)`
-
Third Group:
- `(12, 13)` to `(13, 15)`
- `(13, 15)` to `(13, 20)`
- `(13, 20)` to `(12, 18)`
- `(12, 18)` to `(11, 20)`
- `(11, 20)` to `(9, 20)`
-
Fourth Group:
- `(9, 20)` to `(7, 20)`
- `(7, 20)` to `(6, 18)`
- `(6, 18)` to `(5, 20)`
- `(5, 20)` to `(5, 15)`
- `(5, 15)` to `(6, 13)`
-
Fifth Group:
- `(6, 13)` to `(8, 12)`
- `(8, 12)` to `(9, 11)`
#### Plotting the Points:
1. Start with the first group and plot the points `(9, 0)` to `(9, 5)`, then `(9, 5)` to `(7, 8)`, and so on.
2. Move to the second group and plot the points `(3, 6)` to `(5, 5)`, then `(5, 5)` to `(9, 5)`, and so on.
3. Continue this process for all groups.
#### Connecting the Points:
- After plotting all the points, connect them in the order given by the coordinates to form the line segments.
#### Observing the Image:
Once all the line segments are drawn, the resulting image should be recognizable. In this case, the image appears to be a
butterfly, which is a common symbol associated with spring.
Final Answer
The image revealed by graphing the given coordinates is a
butterfly.
$$
\boxed{\text{Butterfly}}
$$
Parent Tip: Review the logic above to help your child master the concept of plotting points on a graph worksheet.
