rection: 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 A 3 B H Statement Conclusion Reason B 4. DF bisects /CDB 5. Point F lies in the interior of LCDB 5.42 = 26 7. 25 and 26 are complementary angles d E

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 19E
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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.
F
A
H₂
Statement
Conclusion
Reason
4. DF bisects /CDB
5. Point F lies in the interior of
LCDB
6.42 = 26
7.25 and 26 are complementary
angles
8. m/ADF + m2FDB = 180
9. LADC and LCDB form a linear
pair
10. 21 and 25 are vertical angles
179
E
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. F A H₂ Statement Conclusion Reason 4. DF bisects /CDB 5. Point F lies in the interior of LCDB 6.42 = 26 7.25 and 26 are complementary angles 8. m/ADF + m2FDB = 180 9. LADC and LCDB form a linear pair 10. 21 and 25 are vertical angles 179 E
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