Certainly! Below is a transcription suitable for an educational website: --- **Geometry Transformation Exercise** **Problem 6:** **Instructions:** Consider the following points: - \( A(-2, 20) \) and \( P(10, -13) \). The line segment \( AP \) undergoes the translation \( T_{h,k}(x,y) \) such that the translated points are \( A'(-28, 37) \) and \( P'(-16, 4) \). **Part A:** *Complete the following algebraic description of the transformation:* \[ (x, y) \rightarrow (x + \underline{\hspace{1.5cm}}, y + \underline{\hspace{1.5cm}}) \] **Part B:** *Which of the following statements are true? Select all that apply.* - A) \( AP \) and \( A'P' \) have different locations. - B) \( AP \) and \( A'P' \) have different shapes. - C) \( AP \) and \( A'P' \) have different sizes. - D) \( AP \) and \( A'P' \) have different directions. --- **Explanation:** This exercise involves applying a translation to a line segment defined by two points. The goal is to determine the translation vector and analyze the impact of this transformation on the segment's properties.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Certainly! Below is a transcription suitable for an educational website:

---

**Geometry Transformation Exercise**

**Problem 6:**

**Instructions:** 

Consider the following points:
- \( A(-2, 20) \) and \( P(10, -13) \).

The line segment \( AP \) undergoes the translation \( T_{h,k}(x,y) \) such that the translated points are \( A'(-28, 37) \) and \( P'(-16, 4) \).

**Part A:**

*Complete the following algebraic description of the transformation:*

\[
(x, y) \rightarrow (x + \underline{\hspace{1.5cm}}, y + \underline{\hspace{1.5cm}})
\]

**Part B:**

*Which of the following statements are true? Select all that apply.*

- A) \( AP \) and \( A'P' \) have different locations.
- B) \( AP \) and \( A'P' \) have different shapes.
- C) \( AP \) and \( A'P' \) have different sizes.
- D) \( AP \) and \( A'P' \) have different directions.

---

**Explanation:**

This exercise involves applying a translation to a line segment defined by two points. The goal is to determine the translation vector and analyze the impact of this transformation on the segment's properties.
Transcribed Image Text:Certainly! Below is a transcription suitable for an educational website: --- **Geometry Transformation Exercise** **Problem 6:** **Instructions:** Consider the following points: - \( A(-2, 20) \) and \( P(10, -13) \). The line segment \( AP \) undergoes the translation \( T_{h,k}(x,y) \) such that the translated points are \( A'(-28, 37) \) and \( P'(-16, 4) \). **Part A:** *Complete the following algebraic description of the transformation:* \[ (x, y) \rightarrow (x + \underline{\hspace{1.5cm}}, y + \underline{\hspace{1.5cm}}) \] **Part B:** *Which of the following statements are true? Select all that apply.* - A) \( AP \) and \( A'P' \) have different locations. - B) \( AP \) and \( A'P' \) have different shapes. - C) \( AP \) and \( A'P' \) have different sizes. - D) \( AP \) and \( A'P' \) have different directions. --- **Explanation:** This exercise involves applying a translation to a line segment defined by two points. The goal is to determine the translation vector and analyze the impact of this transformation on the segment's properties.
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