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Consider three lines K, L and M intersecting at a point O as shown. Line K contains the points A and D, L contains the points B and E while M contains the points C and F. Show that if AB is parallel to DE and CB is parallel to FE, then AC must be parallel to DF. In this situation, the triangles ABC and DEF are said to be in perspective. A K B E L F M

Consider three lines K, L and M intersecting at a point O as shown. Line K contains the points A and D, L contains the points B and E while M contains the points C and F. Show that if AB is parallel to DE and CB is parallel to FE, then AC must be parallel to DF. In this situation, the triangles ABC and DEF are said to be in perspective. A K B E L F M

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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Consider three lines K, L and M intersecting at a point O as shown. Line K contains the points A and D, L contains the points B and E while M contains the points C and F. Show that if AB is parallel to DE and CB is parallel to FE, then AC must be parallel to DF. In this situation, the triangles ABC and DEF are said to be in perspective. A K B E L F M
Transcribed Image Text:Consider three lines K, L and M intersecting at a point O as shown. Line K contains the points A and D, L contains the points B and E while M contains the points C and F. Show that if AB is parallel to DE and CB is parallel to FE, then AC must be parallel to DF. In this situation, the triangles ABC and DEF are said to be in perspective. A K B E L F M
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