# 7. If we invent the line at infinity in the projective plane, then it is possible to construct one line perpendicular to a given line at a given point. Assuming this is true, given triangle ABC, which of the following is still impossible to construct using only projective geometry? (A) the orthocenter (C) the circumcenter (B) the incenter (D) the centroid

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.1: Circles
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# 7. If we invent the line at infinity in the projective plane, then it is possible to construct
one line perpendicular to a given line at a given point. Assuming this is true, given
triangle ABC, which of the following is still impossible to construct using only
projective geometry?
(A) the orthocenter
(C) the circumcenter
(B) the incenter
(D) the centroid
Transcribed Image Text:# 7. If we invent the line at infinity in the projective plane, then it is possible to construct one line perpendicular to a given line at a given point. Assuming this is true, given triangle ABC, which of the following is still impossible to construct using only projective geometry? (A) the orthocenter (C) the circumcenter (B) the incenter (D) the centroid
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