2) Write a two-column proof. Given 21 is supplementary to 22 and pig Prove rs Two-Column Proof STATEMENTS 1. 2. mz1+mz2 = 180° 3. plq 4. 21 is supplementary to 22. 5. m/2mz3 7. 22 = 23 6. m1m23 = 180° 8. 21 is supplementary to 23. rs Reasons Bank REASONS 1. Given 2. 3. 4. 5. 6. 7. 8. Consecutive Interior Angles Converse Alternate Interior Angles Theorem Definition of supplementary angles (x2) AS 1 p # Substitution Property of Equality Given (x2) Definition of congruent angles

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter6: Circles
Section6.1: Circles And Related Segments And Angles
Problem 28E: A wheel has equally spaced lug bolts. What is the measure of the central angle determined by two...
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2) Write a two-column proof.
Given 21 is supplementary to 22 and pig
Prove rs
Two-Column Proof
STATEMENTS
1.
2. mz1+mz2 = 180°
3. plq
4.
21 is supplementary to 22.
5. m/2mz3
7.
22 = 23
6. m1m23 = 180°
8.
21 is supplementary to 23.
rs
Reasons
Bank
REASONS
1. Given
2.
3.
4.
5.
6.
7.
8.
Consecutive Interior Angles Converse
Alternate Interior Angles Theorem
Definition of supplementary angles (x2)
AS
1
p
#
Substitution Property of Equality
Given (x2)
Definition of congruent angles
Transcribed Image Text:2) Write a two-column proof. Given 21 is supplementary to 22 and pig Prove rs Two-Column Proof STATEMENTS 1. 2. mz1+mz2 = 180° 3. plq 4. 21 is supplementary to 22. 5. m/2mz3 7. 22 = 23 6. m1m23 = 180° 8. 21 is supplementary to 23. rs Reasons Bank REASONS 1. Given 2. 3. 4. 5. 6. 7. 8. Consecutive Interior Angles Converse Alternate Interior Angles Theorem Definition of supplementary angles (x2) AS 1 p # Substitution Property of Equality Given (x2) Definition of congruent angles
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