Consider the figure below. M PM PN,LM I MN,MN 1 ON LN bisects MNO,OM bisects LLMN Given: Which of the following statements is enough to prove AMPL ANPO?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.5: Inequalities In A Triangles
Problem 35E: Prove by the indirect method: Given: MPN is not isosceles Prove: PMPN
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Consider the figure below.
M
PM PN,LM IMN,MN 1 ON
LN bisects MNO,OM bisects LLMN
Given:
Which of the following statements is enough to prove AMPL r ANPO?
DELL
Transcribed Image Text:Consider the figure below. M PM PN,LM IMN,MN 1 ON LN bisects MNO,OM bisects LLMN Given: Which of the following statements is enough to prove AMPL r ANPO? DELL
MATH
NATION
If proving LP OP by Isosceles Triangle Theorem, and LM ON using substitution, then
AMPL ANPO because of SSS.
If proving ZMPL LNPO because they are vertical angles, and LLMP LONP because of
definition of angle bisectors, then AMPL ANPO because of ASA.
If proving LP e OP by Isosceles Triangle Theorem, and ZMPL LNPO because they are
vertical angles, then AMPL ANPO because of SAS.
If PM = PN,LM I MN,MN 1 ON, LN bisects ZMNO,OM bisects LLMN are given statements,
then there is enough to prove AMPL ANP0 by AAS.
eLL
Transcribed Image Text:MATH NATION If proving LP OP by Isosceles Triangle Theorem, and LM ON using substitution, then AMPL ANPO because of SSS. If proving ZMPL LNPO because they are vertical angles, and LLMP LONP because of definition of angle bisectors, then AMPL ANPO because of ASA. If proving LP e OP by Isosceles Triangle Theorem, and ZMPL LNPO because they are vertical angles, then AMPL ANPO because of SAS. If PM = PN,LM I MN,MN 1 ON, LN bisects ZMNO,OM bisects LLMN are given statements, then there is enough to prove AMPL ANP0 by AAS. eLL
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