Triangle ABC is shown in the coordinate plane below. Plot the result of the transformation when triangle ABC is translated 6 units to the right. Then plot the transformation of A'B'C' rotated 180° clockwise about the origin and label it as A"B"C". ● Point Label Segment -10-9-8-7-6-5 A B 104 9 8 7 6 5 3 2 C -4-3-2 -3 -2 -10 -1 -2 -3 1 2 Undo 3 4 5 Redo 6 7 x Reset 8 9 10 Sign out Jun 5 1:07

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**Title: Transformations of Triangle ABC in the Coordinate Plane**

**Instructions:**
Triangle ABC is shown in the coordinate plane below. Plot the result of the transformation when triangle ABC is translated 6 units to the right. Then plot the transformation of A'B'C' rotated 180° clockwise about the origin and label it as A"B"C".

**Diagram Explanation:**
The diagram displays Triangle ABC on a coordinate grid, where:
- A is located at the point (1, 1).
- B is located at (4, 4).
- C is located at (5, 1).

The steps for the transformations are:
1. **Translation:** Move triangle ABC to the right by 6 units. For example, point A at (1, 1) will move to (7, 1).
2. **Rotation:** Rotate the new triangle A'B'C' 180° clockwise about the origin. For instance, if A' is at (7, 1), it will now be at (-7, -1) after rotation.

**Controls:**
The application provides tools such as:
- **Point**: To plot points.
- **Label**: To add labels to points.
- **Segment**: To create line segments between points.

Additional controls include undo, redo, and reset options for easy manipulation and error correction.
Transcribed Image Text:**Title: Transformations of Triangle ABC in the Coordinate Plane** **Instructions:** Triangle ABC is shown in the coordinate plane below. Plot the result of the transformation when triangle ABC is translated 6 units to the right. Then plot the transformation of A'B'C' rotated 180° clockwise about the origin and label it as A"B"C". **Diagram Explanation:** The diagram displays Triangle ABC on a coordinate grid, where: - A is located at the point (1, 1). - B is located at (4, 4). - C is located at (5, 1). The steps for the transformations are: 1. **Translation:** Move triangle ABC to the right by 6 units. For example, point A at (1, 1) will move to (7, 1). 2. **Rotation:** Rotate the new triangle A'B'C' 180° clockwise about the origin. For instance, if A' is at (7, 1), it will now be at (-7, -1) after rotation. **Controls:** The application provides tools such as: - **Point**: To plot points. - **Label**: To add labels to points. - **Segment**: To create line segments between points. Additional controls include undo, redo, and reset options for easy manipulation and error correction.
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