AA 4- B C B" 4 9. 8. Which of the following statements best describes the given transformation? A transformation that slides to the right 1 unit and down 4 units. A reflection that reflects over the y-axis. A rotation 90°. A transformation that slides to the right 4 units and down 1 unit. P. 2. 0000 2.
AA 4- B C B" 4 9. 8. Which of the following statements best describes the given transformation? A transformation that slides to the right 1 unit and down 4 units. A reflection that reflects over the y-axis. A rotation 90°. A transformation that slides to the right 4 units and down 1 unit. P. 2. 0000 2.
Transcribed Image Text:### Transformation of Triangles
#### Explanation of Diagram
The diagram displays two triangles on a coordinate grid. The triangles are labeled as follows:
- **Initial Triangle (Red)**
- Vertices: \( A, B, C \)
- Center labeled as \( P \)
- **Transformed Triangle (Blue)**
- Vertices: \( A', B', C' \)
- Center labeled as \( Q \)
The coordinate grid has both the x-axis (horizontal) and y-axis (vertical) clearly marked, with a range suitable for plotting the given triangles. The transformation applied to the initial triangle results in the corresponding transformed triangle.
#### Question and Options
**Question:**
Which of the following statements best describes the given transformation?
**Options:**
1. A transformation that slides to the right 1 unit and down 4 units.
2. A reflection that reflects over the y-axis.
3. A rotation 90°.
4. A transformation that slides to the right 4 units and down 1 unit.
**Explanation of Graphs/Diagrams:**
- **Initial Triangle (`A`, `B`, `C`) Coordinates:**
- \( A (3, 5) \)
- \( B (5, 2) \)
- \( C (1, 3) \)
- **Transformed Triangle (`A'`, `B'`, `C'`) Coordinates:**
- \( A' (7, 4) \)
- \( B' (9, 1) \)
- \( C' (5, 2) \)
By analyzing the movement from `A` to `A'`, `B` to `B'`, and `C` to `C'`, it can be seen that the transformation involves sliding (translating) the triangle 4 units to the right and 1 unit down. Thus, the correct answer to the question would be:
**Answer:**
\[ \text{A transformation that slides to the right 4 units and down 1 unit.} \]
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![### Transformation of Triangles
#### Explanation of Diagram
The diagram displays two triangles on a coordinate grid. The triangles are labeled as follows:
- **Initial Triangle (Red)**
- Vertices: \( A, B, C \)
- Center labeled as \( P \)
- **Transformed Triangle (Blue)**
- Vertices: \( A', B', C' \)
- Center labeled as \( Q \)
The coordinate grid has both the x-axis (horizontal) and y-axis (vertical) clearly marked, with a range suitable for plotting the given triangles. The transformation applied to the initial triangle results in the corresponding transformed triangle.
#### Question and Options
**Question:**
Which of the following statements best describes the given transformation?
**Options:**
1. A transformation that slides to the right 1 unit and down 4 units.
2. A reflection that reflects over the y-axis.
3. A rotation 90°.
4. A transformation that slides to the right 4 units and down 1 unit.
**Explanation of Graphs/Diagrams:**
- **Initial Triangle (`A`, `B`, `C`) Coordinates:**
- \( A (3, 5) \)
- \( B (5, 2) \)
- \( C (1, 3) \)
- **Transformed Triangle (`A'`, `B'`, `C'`) Coordinates:**
- \( A' (7, 4) \)
- \( B' (9, 1) \)
- \( C' (5, 2) \)
By analyzing the movement from `A` to `A'`, `B` to `B'`, and `C` to `C'`, it can be seen that the transformation involves sliding (translating) the triangle 4 units to the right and 1 unit down. Thus, the correct answer to the question would be:
**Answer:**
\[ \text{A transformation that slides to the right 4 units and down 1 unit.} \]](https://content.bartleby.com/qna-images/question/6166de5a-9053-4d84-9ce1-0f690da2cc9c/7b1af0fc-6e5c-4ae4-b22e-362e40d32b1b/m3kckgl_processed.jpeg)
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