Consider the incomplete paragraph proof shown. Given: AABC Prove: m/4 = m/1+m/2 2 3 C B AABC with exterior 24 is given. = 180° because these angles form a linear pair. This can be written as m24 = 180° – m23 by the Subtraction Property of Equality. Since new equation can be written as m/4 = (m/1 + m/2 + m/3) - m/3 due to the m/4 = m/1 + m/2. 180° because of the Triangle Sum Theorem, this Simplifying results in What are the missing parts of the proof? A m23 + m/4; m/1+ m/2+ m23; Transitive Property m/1+ m/2 +m/3; m/3 + m/4; Transitive Property C m/3 + m/4; m/1+ m/2 + m23; Substitution Property m/1 + m/2 + m/3; m/3 + mZ4; Substitution Property
Consider the incomplete paragraph proof shown. Given: AABC Prove: m/4 = m/1+m/2 2 3 C B AABC with exterior 24 is given. = 180° because these angles form a linear pair. This can be written as m24 = 180° – m23 by the Subtraction Property of Equality. Since new equation can be written as m/4 = (m/1 + m/2 + m/3) - m/3 due to the m/4 = m/1 + m/2. 180° because of the Triangle Sum Theorem, this Simplifying results in What are the missing parts of the proof? A m23 + m/4; m/1+ m/2+ m23; Transitive Property m/1+ m/2 +m/3; m/3 + m/4; Transitive Property C m/3 + m/4; m/1+ m/2 + m23; Substitution Property m/1 + m/2 + m/3; m/3 + mZ4; Substitution Property
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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Transcribed Image Text:Consider the incomplete paragraph proof shown.
Given: AABC
Prove: m/4 = m/1+m/2
1
3
4
B
AABC with exterior Z4 is given.
m24 = 180° – m23 by the Subtraction Property of Equality. Since
new equation can be written as mZ4 = (m/1 + m/2 + m/3) - m23 due to the
m24 = m/1 + m/2.
= 180° because these angles form a linear pair, This can be written as
180° because of the Triangle Sum Theorem, this
Simplifying results in
What are the missing parts of the proof?
A
m/3 + m/4; m/1+ m/2 + m23; Transitive Property
m/1+ m/2 +m/3; m/3 + m/4; Transitive Property
C
m23+ m/4; m/1+m/2+ mZ3; Substitution Property
m21+m/2+ m/3; m/3+ m4; Substitution Property
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