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 are pairs of points that define the endpoints of these line segments. By plotting these points and connecting them in the specified 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, `(13, 27)` and `(15, 22)` are the endpoints of one line segment.
2.
Plot the Points: Plot each point on the coordinate grid.
3.
Connect the Points: Draw a straight line between each pair of consecutive points in the given order.
4.
Reveal the Image: After connecting all the line segments, the resulting shape should form the desired image.
Step-by-Step Solution
#### 1. Plotting the Points
We will plot each pair of coordinates on the grid and connect them as specified. Here is the breakdown of the coordinates:
-
First Row:
- `(13, 27)` to `(15, 22)`
- `(15, 7)` to `(17, 11)`
- `(16, 15)` to `(21, 24)`
- `(24, 12)` to `(24, 9)`
- `(12, 9)` to `(9, 7)`
- `(4, 17)` to `(1, 23)`
-
Second Row:
- `(15, 22)` to `(14, 21)`
- `(17, 11)` to `(16, 15)`
- `(21, 24)` to `(28, 26)`
- `(24, 9)` to `(23, 8)`
- `(9, 7)` to `(7, 8)`
- `(1, 23)` to `(2, 26)`
-
Third Row:
- `(14, 21)` to `(13, 18)`
- `(16, 15)` to `(17, 18)`
- `(28, 26)` to `(29, 23)`
- `(23, 8)` to `(21, 7)`
- `(7, 8)` to `(6, 9)`
- `(2, 26)` to `(9, 24)`
-
Fourth Row:
- `(13, 18)` to `(14, 15)`
- `(17, 18)` to `(16, 21)`
- `(29, 23)` to `(26, 17)`
- `(21, 7)` to `(18, 9)`
- `(6, 9)` to `(6, 12)`
- `(9, 24)` to `(14, 15)`
-
Fifth Row:
- `(14, 15)` to `(13, 11)`
- `(16, 21)` to `(15, 22)`
- `(26, 17)` to `(20, 15)`
- `(18, 9)` to `(17, 11)`
- `(6, 12)` to `(10, 15)`
-
Sixth Row:
- `(13, 11)` to `(15, 7)`
- `(15, 22)` to `(17, 27)`
- `(20, 15)` to `(24, 12)`
- `(13, 11)` to `(12, 9)`
- `(10, 15)` to `(4, 17)`
#### 2. Connecting the Points
After plotting all the points, we connect them in the order specified by the coordinates. This process forms a series of line segments that collectively create a shape.
#### 3. Revealing the Image
Upon connecting all the line segments, the resulting shape resembles a
butterfly. The symmetry and structure of the lines suggest wings and a body, which are characteristic features of a butterfly.
Final Answer
The image revealed by graphing the lines is a
butterfly.
\[
\boxed{\text{Butterfly}}
\]
Parent Tip: Review the logic above to help your child master the concept of coordinate graphing ideas.
