# 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

# 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 and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Concept explainers

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.

Question

# 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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