Reason FI bisects ZGIK Given FI bisects ZHFJ Given ZJIK E ZGIH Vertical Angle Theorem ZFIK E ZFIG Definition of angle bisector ZIFJ ZHFI Definition of angle bisector MLFIJ = MZFIK + mZJIK Additive Property of Angle Measure MLFIH = MZFIG + MZGIH Definition of angle bisector Definition of equilateral triangle Definition of midpoint Reflexive Property of Congruence Reflexive Property of Equality MLFIJ = mZFIG + MZGIH MLFIH = MZFIJ Fe可 AFHI = AFJI ASA
Reason FI bisects ZGIK Given FI bisects ZHFJ Given ZJIK E ZGIH Vertical Angle Theorem ZFIK E ZFIG Definition of angle bisector ZIFJ ZHFI Definition of angle bisector MLFIJ = MZFIK + mZJIK Additive Property of Angle Measure MLFIH = MZFIG + MZGIH Definition of angle bisector Definition of equilateral triangle Definition of midpoint Reflexive Property of Congruence Reflexive Property of Equality MLFIJ = mZFIG + MZGIH MLFIH = MZFIJ Fe可 AFHI = AFJI ASA
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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Substitution, transitive property of equality, transitive property of congruence, vertical angle theorem.
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