Question
On a coordinate plane, point D is 1 unit up. Point C is 2 units to the right and 10 units up. Point F is 8 units to the right and 6 units up. Point G is 9 units to the right and 2 units up. Point E is 12 units to the right and 12 units up.
Look at the plotted points. Which statements are true? Select all that apply.
Point C is located at (1, 5).
Point D is located at (0, 1).
Point E is located at (12, 6).
Point F is located at (8, 6).
Point G is located at (9, 2).
Look at the plotted points. Which statements are true? Select all that apply.
Point C is located at (1, 5).
Point D is located at (0, 1).
Point E is located at (12, 6).
Point F is located at (8, 6).
Point G is located at (9, 2).
Answers
GPT-4o mini
Let's analyze each statement based on the descriptions of the points given:
1. **Point D is 1 unit up.**
This implies that point D is located at (0, 1), as we assume it's starting from the origin (0, 0) and moving 1 unit up.
2. **Point C is 2 units to the right and 10 units up.**
Starting from point D (0, 1), moving 2 units to the right brings us to (2, 1), and then moving 10 units up gives us (2, 11). Therefore, point C is actually at (2, 11), not (1, 5).
3. **Point E is 12 units to the right and 12 units up.**
Starting from the origin (0, 0), moving 12 units right places us at (12, 0), and moving 12 units up gets us to (12, 12). Hence, point E is located at (12, 12), not at (12, 6).
4. **Point F is 8 units to the right and 6 units up.**
Starting again from the origin (0, 0), moving 8 units right reaches (8, 0), and then moving 6 units up brings us to (8, 6). Therefore, point F is correctly located at (8, 6).
5. **Point G is 9 units to the right and 2 units up.**
From the origin (0, 0), moving 9 units right gets us to (9, 0), and then moving 2 units up gives (9, 2). Thus, point G is correctly located at (9, 2).
Based on this information, the true statements are:
- Point D is located at (0, 1).
- Point F is located at (8, 6).
- Point G is located at (9, 2).
The false statements are:
- Point C is located at (1, 5) – This statement is false; point C is at (2, 11).
- Point E is located at (12, 6) – This statement is false; point E is at (12, 12).
So, the correct statements are:
- Point D is located at (0, 1).
- Point F is located at (8, 6).
- Point G is located at (9, 2).
1. **Point D is 1 unit up.**
This implies that point D is located at (0, 1), as we assume it's starting from the origin (0, 0) and moving 1 unit up.
2. **Point C is 2 units to the right and 10 units up.**
Starting from point D (0, 1), moving 2 units to the right brings us to (2, 1), and then moving 10 units up gives us (2, 11). Therefore, point C is actually at (2, 11), not (1, 5).
3. **Point E is 12 units to the right and 12 units up.**
Starting from the origin (0, 0), moving 12 units right places us at (12, 0), and moving 12 units up gets us to (12, 12). Hence, point E is located at (12, 12), not at (12, 6).
4. **Point F is 8 units to the right and 6 units up.**
Starting again from the origin (0, 0), moving 8 units right reaches (8, 0), and then moving 6 units up brings us to (8, 6). Therefore, point F is correctly located at (8, 6).
5. **Point G is 9 units to the right and 2 units up.**
From the origin (0, 0), moving 9 units right gets us to (9, 0), and then moving 2 units up gives (9, 2). Thus, point G is correctly located at (9, 2).
Based on this information, the true statements are:
- Point D is located at (0, 1).
- Point F is located at (8, 6).
- Point G is located at (9, 2).
The false statements are:
- Point C is located at (1, 5) – This statement is false; point C is at (2, 11).
- Point E is located at (12, 6) – This statement is false; point E is at (12, 12).
So, the correct statements are:
- Point D is located at (0, 1).
- Point F is located at (8, 6).
- Point G is located at (9, 2).