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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Question
PROOF
16) If two sides of two adjacent acute angles are perpendicular, then the angles are
complementary.
Given
Prove
Two-Column Proof
STATEMENTS
BAL BC
1.
2.
3.
4.
5.
6.
BAL BC
21 and 22 are complementary.
LABC is a right angle.
m/ABC = 90°
m/ABC = mz1+mz2
90° = m/1+mz2
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
K
Definition of complementary angles
Definition of perpendicular lines
Given
Transcribed Image Text:PROOF 16) If two sides of two adjacent acute angles are perpendicular, then the angles are complementary. Given Prove Two-Column Proof STATEMENTS BAL BC 1. 2. 3. 4. 5. 6. BAL BC 21 and 22 are complementary. LABC is a right angle. m/ABC = 90° m/ABC = mz1+mz2 90° = m/1+mz2 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 K Definition of complementary angles Definition of perpendicular lines Given
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