Discuss the location of the orthocenter for different triangles. Demonstrate and describe why the perpendiculars from a vertex to the line of the opposite side are concurrent. Discuss the locus of the orthocenter as one side of a triangle is fixed and the opposite vertex is moved along a parallel line. Or, along a line that is not parallel. Or, along some other curve?

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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  • Discuss the location of the orthocenter for different triangles.
  • Demonstrate and describe why the perpendiculars from a vertex to the line of the opposite side are concurrent.
  • Discuss the locus of the orthocenter as one side of a triangle is fixed and the opposite vertex is moved along a parallel line. Or, along a line that is not parallel. Or, along some other curve?
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