Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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Question 11

**Geometry Interactive Exercise**

**Problem Statement:**
Suppose \( m \angle ABH > m \angle GHB \) in the figure below. Use the drop-down menu to complete the equality or inequality that relates \( AH \) and \( GB \).

**Diagram Explanation:**
The figure consists of two intersecting triangles forming a quadrilateral:

- Triangle \( ABH \) and Triangle \( GHB \) are interconnected.
- Point \( A \) is connected to point \( B \) and point \( H \).
- Point \( G \) is connected to point \( H \) and point \( B \).

**Interactive Element:**
Below the figure, there is a drop-down menu with the following options:

- Equality relating \( AH \) and \( GB \)
- Inequality determining if \( AH \) is greater than, equal to, or less than \( GB \)
  
**Question:**
Given \( m \angle ABH > m \angle GHB \), choose the appropriate relational operator to complete the expression: \( AH \) _____ \( GB \).

(image of geometric figure and interactive drop-down menu)

--- 

This exercise helps students understand the relationship between angles and sides in geometric figures. Here, students practice using given angle measures to infer length relationships between specific line segments. To complete the exercise, select the correct equality or inequality from the drop-down menu.
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Transcribed Image Text:**Geometry Interactive Exercise** **Problem Statement:** Suppose \( m \angle ABH > m \angle GHB \) in the figure below. Use the drop-down menu to complete the equality or inequality that relates \( AH \) and \( GB \). **Diagram Explanation:** The figure consists of two intersecting triangles forming a quadrilateral: - Triangle \( ABH \) and Triangle \( GHB \) are interconnected. - Point \( A \) is connected to point \( B \) and point \( H \). - Point \( G \) is connected to point \( H \) and point \( B \). **Interactive Element:** Below the figure, there is a drop-down menu with the following options: - Equality relating \( AH \) and \( GB \) - Inequality determining if \( AH \) is greater than, equal to, or less than \( GB \) **Question:** Given \( m \angle ABH > m \angle GHB \), choose the appropriate relational operator to complete the expression: \( AH \) _____ \( GB \). (image of geometric figure and interactive drop-down menu) --- This exercise helps students understand the relationship between angles and sides in geometric figures. Here, students practice using given angle measures to infer length relationships between specific line segments. To complete the exercise, select the correct equality or inequality from the drop-down menu.
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