Given: PW bisects MO, PN 1 MO Since PN bisects MO, that means that because of the Because PN I MO that means that ZONP and MNPare both right angles because of the This means that because all right angles are congruent. Also, by the Reflexive Property of Congruence, Based on these three pairs of congruent coresponding parts, AONP AMNP, based on the ZONP ZMNP : MN NO : PN PN : the definition of a bisector # the definition of perpendicul : definition of a triangle : SAS triangle congruence postulate : SSS triangle congruence postulate

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
Section3.1: Congruent Triangles
Problem 20E: In Exercises 19 and 20, the triangles to be proved congruent have been redrawn separately. Congruent...
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Given: AW bisects MO, PN 1 MO
Since PN bisects MO, that means that
because of the
Because PN I MO that means that
ZONP and ZMNPare both right angles because of the
This means thati
because all right angles are
congruent. Also, by the Reflexive Property of Congruence.
Based on these three pairs of congruent corresponding parts,
AONP AMNP, based on thei
ZONP /MNP
: MN NO
: PN PN
: the definition of a bisector
# the definition of perpendicul
# definition of a triangle
: SAS triangle congruence postulate
# SSS triangle congruence postulate
Transcribed Image Text:Given: AW bisects MO, PN 1 MO Since PN bisects MO, that means that because of the Because PN I MO that means that ZONP and ZMNPare both right angles because of the This means thati because all right angles are congruent. Also, by the Reflexive Property of Congruence. Based on these three pairs of congruent corresponding parts, AONP AMNP, based on thei ZONP /MNP : MN NO : PN PN : the definition of a bisector # the definition of perpendicul # definition of a triangle : SAS triangle congruence postulate # SSS triangle congruence postulate
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