Transcript Segment and Angle Proofs

Advanced Geometry
Deductive Reasoning
Lesson 3
Segment and Angle Proofs
Reasons
•Definition of congruent
Reasons – Segments
•Definition of midpoint
•Segment Addition Postulate
Reasons – Angles
•Definition of angle bisector
•Angle Addition Postulate
•Definition of complementary
•Definition of supplementary
Prove the following.
If AC = DF and AB = DE, then BC = EF.
Prove that if M is the midpoint of
LN
then LN = 2•LM.
,
Prove the following.
If HJ  IK , then HI  JK.
Prove the following.
If M is the midpoint of LN , then MP = LM + NP.
Show that if m FAN = m PET
 1=m

and m 2 = m 3, then m
4.
Prove that if m  2 = m 3,
m  MOT = m  BOP
If
IT bisects
 BIN,
prove that m BIN = 2 • m  2.
Show that if 1 is complementary to  2
and  2 is complementary to  3,
then m  1 = m  3