PROOF 16) If two sides of two adjacent acute angles are perpendicular, then the angles are complementary. Given BAL BC Prove 21 and 22 are complementary. Two-Column Proof STATEMENTS 1. BALBC 2. LABC is a right angle. 3. m/ABC = 90° 4. m/ABC = mz1+mz2 5. 90° = m/1 + m22 6. 21 and 22 are complementary. Reasons Bank REASONS 1. 2. 3. 4. 5. 6. Angle Addition Postulate Transitive Property of Equality Definition of right angle V 2 Definition of complementary angles Definition of perpendicular lines
PROOF 16) If two sides of two adjacent acute angles are perpendicular, then the angles are complementary. Given BAL BC Prove 21 and 22 are complementary. Two-Column Proof STATEMENTS 1. BALBC 2. LABC is a right angle. 3. m/ABC = 90° 4. m/ABC = mz1+mz2 5. 90° = m/1 + m22 6. 21 and 22 are complementary. Reasons Bank REASONS 1. 2. 3. 4. 5. 6. Angle Addition Postulate Transitive Property of Equality Definition of right angle V 2 Definition of complementary angles Definition of perpendicular lines
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.4: Relationships: Perpendicular Lines
Problem 30E
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