Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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Question
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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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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