When two triangles abc and abd share an edge ab, their four vertices lie on five lines through th sides of the two triangles. Draw a system of five points and four lines that could be a projective dual to this system of four points and five lines. Label the four lines in your answer as a, b, C, and d so that the correspondence between them and the four points is clearly identified.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.5: Convex Polygons
Problem 41E
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When two triangles abc and abd share an edge
ab, their four vertices lie on five lines through the
sides of
the two triangles. Draw a system of five points
and four lines that could be a projective dual to
this system
of four points and five lines. Label the four lines
in your answer as a, b, C, and d so that the
correspondence
between them and the four points is clearly
identified.
Transcribed Image Text:When two triangles abc and abd share an edge ab, their four vertices lie on five lines through the sides of the two triangles. Draw a system of five points and four lines that could be a projective dual to this system of four points and five lines. Label the four lines in your answer as a, b, C, and d so that the correspondence between them and the four points is clearly identified.
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