https://file.aiquickdraw.com/mathbot/file/1728301185554hobxoqbe.jpg

To solve for point \( G \), let's analyze the diagram you've provided. We can observe the following key points:

- Point \( (5, 18) \) is the upper-left corner of the "L"-shaped figure.
- Point \( (19, 14) \) is the lower-right corner of the horizontal section.
- Point \( G \) is the lower-left corner of the vertical section.

To determine the coordinates of point \( G \), we need to break down the figure into two rectangular segments: one vertical and one horizontal. Given the alignment of these points, we can infer the following:

### Step 1: The vertical segment
The vertical section extends from point \( (5, 18) \) downwards. Point \( G \) lies directly beneath point \( (5, 18) \), meaning they share the same \( x \)-coordinate (i.e., \( x = 5 \)).

### Step 2: The horizontal segment
The bottom of the vertical segment aligns with the horizontal segment. Point \( G \) and point \( (19, 14) \) share the same \( y \)-coordinate (i.e., \( y = 14 \)).

### Conclusion:
The coordinates of point \( G \) are \( (5, 14) \).

Would you like further details or have any other questions about this problem?

Here are some related questions to consider:
1. What is the total area of the "L"-shaped figure?
2. How would you find the perimeter of this shape?
3. If you extended the shape, how would the coordinates of \( G \) change?
4. How can you determine the length of the vertical and horizontal segments?
5. How does the shape's orientation affect the calculation of point \( G \)?

**Tip:** When determining unknown points in geometric shapes, always look for shared coordinates and relationships between segments.

Discover how to solve for point G in an L-shaped figure using coordinate geometry. This solution covers key concepts such as vertical and horizontal alignment of coordinates, making it suitable for students in Grades 8-10.

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