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-5 У 5 В' A A В Ф -5 5 C 10 X

-5 У 5 В' A A В Ф -5 5 C 10 X

Elementary Geometry For College Students, 7e
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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1. Which transformation(s) map ABC to A'B'C'? Be as specific as you can.

2. Explain the process you used to find your answer to question 1. Include any observations and your thinking. Use complete sentences

3. What is a scale factor?.

4. How can scale factor be used to find unknown measures?

**Transcription for Educational Website** **Figure 5 Explanation: Reflections and Transformations in the Coordinate Plane** The image presents a geometric diagram on a coordinate grid, illustrating transformations through reflection. **Description:** - **Coordinate Plane:** The grid is marked with x and y axes, each ranging from -10 to 10. The axes intersect at the origin (0,0). - **Triangles:** - **Triangle ABC:** This triangle is outlined in red. - **Point A** is located at the origin (0, 0). - **Point B** is positioned at approximately (3, -4). - **Point C** is located at approximately (5, -2). - **Triangle A'B'C':** This triangle is outlined in blue, indicating it as the image after a transformation. - **Point A'** remains at (0, 0). - **Point B'** is at approximately (3, 4), representing a reflection of Point B over the x-axis. - **Point C'** is located at approximately (5, 2), similarly representing a reflection of Point C over the x-axis. **Interpretation:** This diagram exemplifies how a reflection transformation is performed on a triangle in the coordinate plane. The transformation reflects Triangle ABC across the x-axis to form Triangle A'B'C'. Observing these transformations helps in understanding symmetry and properties of geometric shapes under reflection. By analyzing such diagrams, students can better grasp the concept of transformations that maintain congruence and shape. This exercise is crucial for visualizing how points and figures behave under specific operations on the plane.
Transcribed Image Text:**Transcription for Educational Website** **Figure 5 Explanation: Reflections and Transformations in the Coordinate Plane** The image presents a geometric diagram on a coordinate grid, illustrating transformations through reflection. **Description:** - **Coordinate Plane:** The grid is marked with x and y axes, each ranging from -10 to 10. The axes intersect at the origin (0,0). - **Triangles:** - **Triangle ABC:** This triangle is outlined in red. - **Point A** is located at the origin (0, 0). - **Point B** is positioned at approximately (3, -4). - **Point C** is located at approximately (5, -2). - **Triangle A'B'C':** This triangle is outlined in blue, indicating it as the image after a transformation. - **Point A'** remains at (0, 0). - **Point B'** is at approximately (3, 4), representing a reflection of Point B over the x-axis. - **Point C'** is located at approximately (5, 2), similarly representing a reflection of Point C over the x-axis. **Interpretation:** This diagram exemplifies how a reflection transformation is performed on a triangle in the coordinate plane. The transformation reflects Triangle ABC across the x-axis to form Triangle A'B'C'. Observing these transformations helps in understanding symmetry and properties of geometric shapes under reflection. By analyzing such diagrams, students can better grasp the concept of transformations that maintain congruence and shape. This exercise is crucial for visualizing how points and figures behave under specific operations on the plane.
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