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2. How many points and lines are named in Figure 3.6A (or B)? How many of the lines pass through each point? How many of the points lie on each line? 3. Name two triangles that are perspective from (i) P, (ii) P', (iii) D.

2. How many points and lines are named in Figure 3.6A (or B)? How many of the lines pass through each point? How many of the points lie on each line? 3. Name two triangles that are perspective from (i) P, (ii) P', (iii) D.

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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Please provide a written mathematical justification for 2 and 3
THEOREM 3.61. If two triangles are perspective from a point, and if their pairs of corresponding sides meet, then the three points of intersection are collinear. Figure 3.6A DESARGUES'S THEOREM 71 R' E Figure 3.6B Again we have a theorem of pure incidence. Figures 3.6A and B are two of the many ways in which the diagram can be drawn. Here APQR and AP'OR' are perspective from O and their pairs of corresponding
Transcribed Image Text:THEOREM 3.61. If two triangles are perspective from a point, and if their pairs of corresponding sides meet, then the three points of intersection are collinear. Figure 3.6A DESARGUES'S THEOREM 71 R' E Figure 3.6B Again we have a theorem of pure incidence. Figures 3.6A and B are two of the many ways in which the diagram can be drawn. Here APQR and AP'OR' are perspective from O and their pairs of corresponding
2. How many points and lines are named in Figure 3.6A (or B)? How many of the lines pass through each point? How many of the points lie on each line? 3. Name two triangles that are perspective from (i) P, (ii) P', (iii) D.
Transcribed Image Text:2. How many points and lines are named in Figure 3.6A (or B)? How many of the lines pass through each point? How many of the points lie on each line? 3. Name two triangles that are perspective from (i) P, (ii) P', (iii) D.
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