Directions: Complete the two-column proof.ReasonsStatements1.Given: Kite CUTE withdiagonals UẾ and CTintersect at point X.Prove: UE is the2.3.perpendicular bisectorof CT.4.6.7.8.9.10.1.12.5.

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Answered: Directions: Complete the two-column…

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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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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Directions: Complete the two-column proof. Given: Kite CUTE with Reasons Statements 1. diagonals ŪẾ and CT intersect at point X. Prove: UE is the perpendicular bisector of CT. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12.