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1. Make a sketch that demonstrates that the medians intersect at a common point. 2. Make a sketch that demonstrates the angle bisectors intersect at a common point. Construct the incircle. 3. Make a sketch of the incircle and excircles. 4. Create a sketch that constructs the circumcircle of ABC. 5. Create a tool that builds the Euler line segment OGH. Use this tool to find the Euler line segments for the four triangles ABC, HBC, ▲AHC, and \ABH What do you observe?

1. Make a sketch that demonstrates that the medians intersect at a common point. 2. Make a sketch that demonstrates the angle bisectors intersect at a common point. Construct the incircle. 3. Make a sketch of the incircle and excircles. 4. Create a sketch that constructs the circumcircle of ABC. 5. Create a tool that builds the Euler line segment OGH. Use this tool to find the Euler line segments for the four triangles ABC, HBC, ▲AHC, and \ABH What do you observe?

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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1. Make a sketch that demonstrates that the medians intersect at a common point. 2. Make a sketch that demonstrates the angle bisectors intersect at a common point. Construct the incircle. 3. Make a sketch of the incircle and excircles. 4. Create a sketch that constructs the circumcircle of ABC. 5. Create a tool that builds the Euler line segment OGH. Use this tool to find the Euler line segments for the four triangles ABC, HBC, ▲AHC, and \ABH What do you observe?
Transcribed Image Text:1. Make a sketch that demonstrates that the medians intersect at a common point. 2. Make a sketch that demonstrates the angle bisectors intersect at a common point. Construct the incircle. 3. Make a sketch of the incircle and excircles. 4. Create a sketch that constructs the circumcircle of ABC. 5. Create a tool that builds the Euler line segment OGH. Use this tool to find the Euler line segments for the four triangles ABC, HBC, ▲AHC, and \ABH What do you observe?
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