Question
If rectangle ABDC is translated horizontally -1 and vertically +3, which of the following correctly depicts rectangle A' * B' * D' * C' ? (1 point) A' = FIRST TRANSLATION (- 4, 7) B' = (0, 7) C' = (- 4, 4) D' = (0, 4)
SECOND TRANSLATION If rectangle ABDC is translated horizontally -1 and vertically +3, which of the following correctly depicts rectangle A' * B' * D' * C' ? (1 point) A' = (- 4, 7) B' = (0, 7) LESSON FEEDBACK C' = (- 4, 4) D' = (0, 4)
THIRD TRANSLATION A' = (- 6, 7) B' = (- 2, 7) page 17 of 17 COURSE TOOLS < C' = (- 6, 4) D' = (- 2, 4)
FOURTH TRANSLATION A' = (- 6, 1) B' = (- 2, 1) C' = (- 6, - 2) D' = (- 2, - 2)
FITH TRANSLATION A' = (-4,1) B' = (0,1) COURSE TOOLS < C' = (-4,-2) D' = (0,-2)
SECOND TRANSLATION If rectangle ABDC is translated horizontally -1 and vertically +3, which of the following correctly depicts rectangle A' * B' * D' * C' ? (1 point) A' = (- 4, 7) B' = (0, 7) LESSON FEEDBACK C' = (- 4, 4) D' = (0, 4)
THIRD TRANSLATION A' = (- 6, 7) B' = (- 2, 7) page 17 of 17 COURSE TOOLS < C' = (- 6, 4) D' = (- 2, 4)
FOURTH TRANSLATION A' = (- 6, 1) B' = (- 2, 1) C' = (- 6, - 2) D' = (- 2, - 2)
FITH TRANSLATION A' = (-4,1) B' = (0,1) COURSE TOOLS < C' = (-4,-2) D' = (0,-2)
Answers
GPT-4o mini
To analyze the translations of rectangle ABDC, let's first establish what happens during a translation of a rectangle in a coordinate system.
When translating a shape, each point of the shape moves by a specific horizontal and vertical amount. In this case, rectangle ABDC is translated horizontally by -1 (to the left) and vertically by +3 (upwards).
Let's denote the vertices of rectangle ABDC as follows:
- A(x1, y1)
- B(x2, y1)
- D(x1, y2)
- C(x2, y2)
When the rectangle is translated horizontally -1 and vertically +3, the new coordinates of the vertices will be:
- A' = (x1 - 1, y1 + 3)
- B' = (x2 - 1, y1 + 3)
- D' = (x1 - 1, y2 + 3)
- C' = (x2 - 1, y2 + 3)
Now let's check each option given in your translations to see which one correctly reflects the new coordinates after the translation.
### FIRST TRANSLATION
- A' = (-4, 7)
- B' = (0, 7)
- C' = (-4, 4)
- D' = (0, 4)
These points will need to relate to the original rectangle points, but the translation seems inconsistent based on the descriptions.
### SECOND TRANSLATION
- A' = (-4, 7)
- B' = (0, 7)
- C' = (-4, 4)
- D' = (0, 4)
The same as the first translation.
### THIRD TRANSLATION
- A' = (-6, 7)
- B' = (-2, 7)
- C' = (-6, 4)
- D' = (-2, 4)
This indicates a translation greater than -1 horizontally, suggesting an error.
### FOURTH TRANSLATION
- A' = (-6, 1)
- B' = (-2, 1)
- C' = (-6, -2)
- D' = (-2, -2)
This indicates an inconsistent translation again.
### FIFTH TRANSLATION
- A' = (-4, 1)
- B' = (0, 1)
- C' = (-4, -2)
- D' = (0, -2)
Given the previous translations and how they affect points, each set of translations appears mismatched.
### Conclusion
1. To correctly depict the transformation of rectangle ABDC, verify the point translation through calculations.
2. Ensure all translations correspond with the -1 horizontal shift and +3 vertical shift applied accurately.
From the choices provided, the translations presented in the FIRST and SECOND translations seem valid as they retain points that can mirror the translated coordinates logically. However, due to provided inconsistency, I would suggest reviewing the original vertex positions to ascertain the correct translated results based on the arithmetic of translations stated.
When translating a shape, each point of the shape moves by a specific horizontal and vertical amount. In this case, rectangle ABDC is translated horizontally by -1 (to the left) and vertically by +3 (upwards).
Let's denote the vertices of rectangle ABDC as follows:
- A(x1, y1)
- B(x2, y1)
- D(x1, y2)
- C(x2, y2)
When the rectangle is translated horizontally -1 and vertically +3, the new coordinates of the vertices will be:
- A' = (x1 - 1, y1 + 3)
- B' = (x2 - 1, y1 + 3)
- D' = (x1 - 1, y2 + 3)
- C' = (x2 - 1, y2 + 3)
Now let's check each option given in your translations to see which one correctly reflects the new coordinates after the translation.
### FIRST TRANSLATION
- A' = (-4, 7)
- B' = (0, 7)
- C' = (-4, 4)
- D' = (0, 4)
These points will need to relate to the original rectangle points, but the translation seems inconsistent based on the descriptions.
### SECOND TRANSLATION
- A' = (-4, 7)
- B' = (0, 7)
- C' = (-4, 4)
- D' = (0, 4)
The same as the first translation.
### THIRD TRANSLATION
- A' = (-6, 7)
- B' = (-2, 7)
- C' = (-6, 4)
- D' = (-2, 4)
This indicates a translation greater than -1 horizontally, suggesting an error.
### FOURTH TRANSLATION
- A' = (-6, 1)
- B' = (-2, 1)
- C' = (-6, -2)
- D' = (-2, -2)
This indicates an inconsistent translation again.
### FIFTH TRANSLATION
- A' = (-4, 1)
- B' = (0, 1)
- C' = (-4, -2)
- D' = (0, -2)
Given the previous translations and how they affect points, each set of translations appears mismatched.
### Conclusion
1. To correctly depict the transformation of rectangle ABDC, verify the point translation through calculations.
2. Ensure all translations correspond with the -1 horizontal shift and +3 vertical shift applied accurately.
From the choices provided, the translations presented in the FIRST and SECOND translations seem valid as they retain points that can mirror the translated coordinates logically. However, due to provided inconsistency, I would suggest reviewing the original vertex positions to ascertain the correct translated results based on the arithmetic of translations stated.