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
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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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, M2XBC = 45°
Prove: ZABC is a right angle
Statements
Reasons
1
2.
4.
4.
5.
5.
6.
7.
7.
8.
MZABX = m ZXBC
Definition of Right Angle
Given
Simplify
ZABC is a right angle
BX bisects ZABC
Definition of Congruent
Substitution Property of Equality
Angle Addition Postulate
MZABC = 90°
MZABC - 45° + 45°
Transitive Property of Equality
MZABX = 45
Given
MZXBC = 45°
MZABC = MZABX + M2XBC
Definition of Angle Bisector
ZABXZXBC
1 of 2
Transcribed Image Text:3:25 1 E Proof Scramble Assessment #5.pdf e https:api.schoology.comv1attachment1724024839so... 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, M2XBC = 45° Prove: ZABC is a right angle Statements Reasons 1 2. 4. 4. 5. 5. 6. 7. 7. 8. MZABX = m ZXBC Definition of Right Angle Given Simplify ZABC is a right angle BX bisects ZABC Definition of Congruent Substitution Property of Equality Angle Addition Postulate MZABC = 90° MZABC - 45° + 45° Transitive Property of Equality MZABX = 45 Given MZXBC = 45° MZABC = MZABX + M2XBC Definition of Angle Bisector ZABXZXBC 1 of 2
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