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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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The images consist of three different geometric diagrams, each featuring triangles accompanied by indications of geometric congruence. Below is the description of each image: 1. **First Diagram:** - Two triangles are oriented with one above and one below, sharing a common horizontal line. - The left and right sides of each triangle have a single hash mark, indicating they are congruent. - There is a checkbox area for the answer, with options labeled "SSS", "SAS", and "AAS" below it. 2. **Second Diagram:** - A rhombus shape is formed by two congruent triangles. - Each triangle has two sides marked with double hash marks, indicating congruence, and the included angle between these sides is the same for both triangles. - There is a space for the answer below, showing the options "SSS", "SAS", or "AAS". 3. **Third Diagram:** - Features two triangles sharing a common vertex. - The left and right angles are marked, suggesting angular congruence. - Each triangle has a single side marked with hash marks. - An answer space is provided below with "SSS" visually noted. These diagrams are used to determine which congruence theorem applies: Side-Side-Side (SSS), Side-Angle-Side (SAS), or Angle-Angle-Side (AAS). The hash marks and angles indicate elements that are congruent between triangles.
Transcribed Image Text:The images consist of three different geometric diagrams, each featuring triangles accompanied by indications of geometric congruence. Below is the description of each image: 1. **First Diagram:** - Two triangles are oriented with one above and one below, sharing a common horizontal line. - The left and right sides of each triangle have a single hash mark, indicating they are congruent. - There is a checkbox area for the answer, with options labeled "SSS", "SAS", and "AAS" below it. 2. **Second Diagram:** - A rhombus shape is formed by two congruent triangles. - Each triangle has two sides marked with double hash marks, indicating congruence, and the included angle between these sides is the same for both triangles. - There is a space for the answer below, showing the options "SSS", "SAS", or "AAS". 3. **Third Diagram:** - Features two triangles sharing a common vertex. - The left and right angles are marked, suggesting angular congruence. - Each triangle has a single side marked with hash marks. - An answer space is provided below with "SSS" visually noted. These diagrams are used to determine which congruence theorem applies: Side-Side-Side (SSS), Side-Angle-Side (SAS), or Angle-Angle-Side (AAS). The hash marks and angles indicate elements that are congruent between triangles.
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