M IDPOINT Definition: If M is the midpoint of AB, then AM = MB or AM MB Midpoint Theorem: If M is the midpoint of AB, then AM = ½AB and MB = ½AB. A M B
Angle Bisector The definition and Theorem is just like the Midpoint ones!! Copy from the overhead.
C OUPLE OF Q UESTIONS : What makes something a theorem? Some one proved it How can you tell apart the midpoint/angle bisector definitions and theorems? Definition uses = to Theorem uses = ½ What are the reasons that you are allowed to use in a proof? Given Definition Postulate Property Theorems that have already been proved
E XAMPLE If OZ bisects XOY, find m ZOB. A 180 B 0 O X 110 Y 40 Z 70 35 75
TOO Page 45 #1-9 (use the picture!) Answers: 1) Angle Addition Postulate 2) Segment Addition Postulate 3) Angle Addition Postulate 4) Definition of a Midpoint 5) Midpoint Theorem 6) Definition of Segment Bisector 7) Definition of Segment Bisector 8) Angle Bisector Theorem 9) Definition of Angle Bisector
H OMEWORK Page 46 #1-18, skip #12 Flash cards Def. of Midpoint Midpoint Theorem Def. of Angle Bisector Angle Bisector Theorem