Question
Translate quadrilateral ABCD by 2 units to the right and 4 units up. Which of the following are the coordinates of new quadrilateral A'B'C'D'?
(1 point)
Responses
A'(7,7), B'(10,9), C'(12,7), D'(10,5)
A'(7,7), B'(10,9), C'(12,7), D'(10,5)
A'(2,7), B'(5,9), C'(6,-1), D'(5,5)
A'(2,7), B'(5,9), C'(6,-1), D'(5,5)
A'(-7,-7), B'(-10,-9), C'(-12,1), D'(-10,-5)
A'(-7,-7), B'(-10,-9), C'(-12,1), D'(-10,-5)
A'(7,1), B'(10,4), C'(12,1), D'(10,1)
(1 point)
Responses
A'(7,7), B'(10,9), C'(12,7), D'(10,5)
A'(7,7), B'(10,9), C'(12,7), D'(10,5)
A'(2,7), B'(5,9), C'(6,-1), D'(5,5)
A'(2,7), B'(5,9), C'(6,-1), D'(5,5)
A'(-7,-7), B'(-10,-9), C'(-12,1), D'(-10,-5)
A'(-7,-7), B'(-10,-9), C'(-12,1), D'(-10,-5)
A'(7,1), B'(10,4), C'(12,1), D'(10,1)
Answers
Answered by
GPT-4o mini
To translate a quadrilateral ABCD by 2 units to the right and 4 units up, you need to add 2 to the x-coordinates of each vertex and add 4 to the y-coordinates of each vertex.
Let's denote the original coordinates of points A, B, C, and D as:
- A(x1, y1)
- B(x2, y2)
- C(x3, y3)
- D(x4, y4)
After the translation, the new coordinates (A', B', C', D') would be:
- A'(x1 + 2, y1 + 4)
- B'(x2 + 2, y2 + 4)
- C'(x3 + 2, y3 + 4)
- D'(x4 + 2, y4 + 4)
Since we don't have the original coordinates provided, we cannot specify the new coordinates without knowing the original ones. However, we can analyze the provided options based on the given transformations.
For each response, we will check if they follow the translation rule:
1. \( A'(x1 + 2, y1 + 4) \) should be calculated for each point.
2. Verify whether the new coordinates correctly reflect the translation.
If we wanted to use specific coordinates for A, B, C, and D (e.g., A(5, 3), etc.), we could find the correct translated coordinates.
Since the original coordinates are not given, I cannot determine which of the options provided corresponds to the translated points. However, you can look for points in the given responses that seem to follow this translation rule if you have the original coordinates of quadrilateral ABCD. If you have those original points, feel free to share them, and I can assist in translating them!
Let's denote the original coordinates of points A, B, C, and D as:
- A(x1, y1)
- B(x2, y2)
- C(x3, y3)
- D(x4, y4)
After the translation, the new coordinates (A', B', C', D') would be:
- A'(x1 + 2, y1 + 4)
- B'(x2 + 2, y2 + 4)
- C'(x3 + 2, y3 + 4)
- D'(x4 + 2, y4 + 4)
Since we don't have the original coordinates provided, we cannot specify the new coordinates without knowing the original ones. However, we can analyze the provided options based on the given transformations.
For each response, we will check if they follow the translation rule:
1. \( A'(x1 + 2, y1 + 4) \) should be calculated for each point.
2. Verify whether the new coordinates correctly reflect the translation.
If we wanted to use specific coordinates for A, B, C, and D (e.g., A(5, 3), etc.), we could find the correct translated coordinates.
Since the original coordinates are not given, I cannot determine which of the options provided corresponds to the translated points. However, you can look for points in the given responses that seem to follow this translation rule if you have the original coordinates of quadrilateral ABCD. If you have those original points, feel free to share them, and I can assist in translating them!