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Given: LA and BC Construct: An isosceles triangle with a vertex angle congruent to ZA and legs congruent to BC. Remember that the vertex angle is included by the legs. A C В

Given: LA and BC Construct: An isosceles triangle with a vertex angle congruent to ZA and legs congruent to BC. Remember that the vertex angle is included by the legs. A C В

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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**Transcription for Educational Website:** --- **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. --- This exercise aims to solidify the understanding of isosceles triangle properties and basic geometric construction techniques.
Transcribed Image Text:**Transcription for Educational Website:** --- **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. --- This exercise aims to solidify the understanding of isosceles triangle properties and basic geometric construction techniques.
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