Organize the statements and reasons below into a two-column proof. Each statement and/or reason will only be used once. Given: BX bisects ZABC, MZXBC = 45° Prove: ZABC is a right angle Statements Reasons 1. 1. 2. 2. 3. 3. 4. 4. 5. 5. 6. 6. 7. 7. 8. 8. 9. 9. MZABX = M2XBC Definition of Right Angle Given Simplity BX bisects ZABC ZABC is a right angle Definition of Congruent Substitution Property of Equality Angle Addition Postulate MZABC - 45° + 45° Transitive Property of Equality MZABC = 90 MZABX - 45 Given MZXBC = 45° MZABC = MZABX + M2XBC Definition of Angle Bisector ZABX• ZXBC
Organize the statements and reasons below into a two-column proof. Each statement and/or reason will only be used once. Given: BX bisects ZABC, MZXBC = 45° Prove: ZABC is a right angle Statements Reasons 1. 1. 2. 2. 3. 3. 4. 4. 5. 5. 6. 6. 7. 7. 8. 8. 9. 9. MZABX = M2XBC Definition of Right Angle Given Simplity BX bisects ZABC ZABC is a right angle Definition of Congruent Substitution Property of Equality Angle Addition Postulate MZABC - 45° + 45° Transitive Property of Equality MZABC = 90 MZABX - 45 Given MZXBC = 45° MZABC = MZABX + M2XBC Definition of Angle Bisector ZABX• ZXBC
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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