
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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Transcribed Image Text:**Transcription for Educational Website:**
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**Constructing an Isosceles Triangle**
**Given:** ∠A and line segment BC
**Objective:** Construct an isosceles triangle with a vertex angle congruent to ∠A and legs congruent to line segment BC. Remember that the vertex angle is included by the legs.
**Diagram Explanation:**
1. **Angle Representation:**
- An angle labeled ∠A is depicted using two rays originating from a common point, showing the opening of the angle.
2. **Line Segment:**
- A straight line segment labeled BC is displayed, indicating the length that the legs of the isosceles triangle will replicate.
**Instructions for Construction:**
To form this isosceles triangle, ensure that both legs are equal in length to BC, and the angle between them matches ∠A. The angle's rays should be considered as the preliminary guides for the legs of your triangle.
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This exercise aims to solidify the understanding of isosceles triangle properties and basic geometric construction techniques.
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