Casey used the diagram to prove ZDEH LFEG. In the diagram, DG intersects HF at point E. Linear = if two lines fom a linear painfliun n memine. ofthe am 140° preis Complete Casey's proof by placing the correct reason that justifies each of the statements into the proof. Statement Reason Linear Pair Theorem tinerr pt theoren. Sebstitetan ::: MZDEH + MZDEF = 180° Reflexive Property MZDEF + MLFEG = 180o Subtraction Property of Equality MZDEH+ MLDEF = MLDEF+ MLFEG ::: Substitution Property of Equality Subsyachon M2DEH = m

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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Casey used the diagram to prove LDEH LFEG. In the diagram, DG intersects HF at point E.
Linear
1f two ines fom
alineer paine//en
preis :
aat
menine A the ogles
mesne
120
Complete Casey's proof by placing the correct reason that justifies each of the statements into the proof.
Statement
Reason
Linear Pair Theorem
tinerr prir
theorern.
Slebstitotan
perty
SubsTrachon
:::
MZDEH + MZDEF 180°
MZDEF + nLFEG = 180
Reflexive Property
Subtraction Property of Equality
MŁDEH + m<DEF =
MLDEF+ MTZFEG
Substitution Property of Equality
MZDEH = MLFEG
Definition of Congruence
detinitisn
ZDEH = LFEG
Student Copy
Transcribed Image Text:Casey used the diagram to prove LDEH LFEG. In the diagram, DG intersects HF at point E. Linear 1f two ines fom alineer paine//en preis : aat menine A the ogles mesne 120 Complete Casey's proof by placing the correct reason that justifies each of the statements into the proof. Statement Reason Linear Pair Theorem tinerr prir theorern. Slebstitotan perty SubsTrachon ::: MZDEH + MZDEF 180° MZDEF + nLFEG = 180 Reflexive Property Subtraction Property of Equality MŁDEH + m<DEF = MLDEF+ MTZFEG Substitution Property of Equality MZDEH = MLFEG Definition of Congruence detinitisn ZDEH = LFEG Student Copy
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