SOLUTION: Given: L is the midpoint of line segment IE, line segment NE is congruent to NI. Prove that line segment NI bisects angle INE
Algebra.Com
Question 240126: Given: L is the midpoint of line segment IE, line segment NE is congruent to NI. Prove that line segment NI bisects angle INE
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
You can't prove that NI bisects angle INE. That's because NI doesn't bisect INE.
Now, if you were just being careless and actually meant to say "prove that NL bisects angle INE", then proceed thus: (Note: This system won't render the congruence symbol, so I have substituted the identity symbol (≡)
≡
Given.
≡
Definition of midpoint
≡
Reflexive Property of Equality
≡
SSS
≡
CPCTC
bisects 
Definition of Angle Bisector
John
RELATED QUESTIONS
Given: segment BA congruent to segment BC, Ray BD bisects angle ABC
Prove: D is the... (answered by solver91311)
Given: line segment MO is the perpendicular bisector of line segment LN.
Prove: line... (answered by sachi)
given: line segment ab is parallel to line segment cd;
line segment ab is... (answered by ikleyn)
Given: :Line segment AB is congruent to line segment AE.
Given: Angle C is congruent to... (answered by venugopalramana)
If line AD has midpoint C, how can I prove that line segment AC is congruent to line... (answered by KMST)
E is the midpoint of line segment AC and BD; line segment ED is congruent to line segment (answered by Jeetbhatt10th)
Given: Segment AB is congruent to FG. Line BF bisects segment AC and segment DG.
Prove:... (answered by ikleyn)
B is the midpoint of line segment AD and line segment CE
prove: triangle ABC is... (answered by math_helper)
line segment bf is perpendicular to line segment de, line segment bf is perpendicular to... (answered by mananth)