Direction: Illustrate the need for an axiomatic structure of a mathematical system in Geometry by supplying a valid conclusion for the given statement on the second column and identify the definition, postulate, or theorem used. REFER TO THE FIGURE BELOW. F D A H Statement Reason 1. AD BD 2. D is the midpoint of AB 3. Points A, D, and Bare collinear and Dis between points A and B 6 514 E 3 B Conclusion

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Direction: Illustrate the need for an axiomatic structure of a mathematical system in Geometry by
supplying a valid conclusion for the given statement on the second column and identify the
definition, postulate, or theorem used. REFER TO THE FIGURE BELOW.
C₁
F
D
A
H
Statement
Reason
1. AD = BD
2. D is the midpoint of AB
3. Points A, D, and Bare collinear and
Dis between points A and B
514
E
2
3
B
FF
Conclusion
Transcribed Image Text:Direction: Illustrate the need for an axiomatic structure of a mathematical system in Geometry by supplying a valid conclusion for the given statement on the second column and identify the definition, postulate, or theorem used. REFER TO THE FIGURE BELOW. C₁ F D A H Statement Reason 1. AD = BD 2. D is the midpoint of AB 3. Points A, D, and Bare collinear and Dis between points A and B 514 E 2 3 B FF Conclusion
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