Given: N is the midpoint of LO; ΜN NP Prove: AMNL 2 APNO M N is the midpoint of LO MN = NP LN = NO ZLNO = LONP ΔΜΝL ΔΡΝΟ :: Vertical Angles are Congruent :: Given :: SAS :: Definition of Midpoint

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter7: Locus And Concurrence
Section7.2: Concurrence Of Lines
Problem 7E: Which lines or line segments or rays must be drawn or constructed in a triangle to locate its...
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Given: N is the midpoint of LO;
ΜN NP
Prove: Δ ΜNL~ΔΡΝΟ
L
P
N
M
N is the midpoint of
LO
ΜN NP
LN ΝΟ
ZLNO = ZONP
ΔΜNL- ΔΡΝΟ
:: Vertical Angles are Congruent
:: Given
: SAS
:: Definition of Midpoint
Transcribed Image Text:Given: N is the midpoint of LO; ΜN NP Prove: Δ ΜNL~ΔΡΝΟ L P N M N is the midpoint of LO ΜN NP LN ΝΟ ZLNO = ZONP ΔΜNL- ΔΡΝΟ :: Vertical Angles are Congruent :: Given : SAS :: Definition of Midpoint
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