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Proving Theorems
Proving Theorems
THEOREMA result that has been proved to be true (using facts that were already known).MIDPOINT THEOREM
What is MIDPOINT??MidpointIs the middle point of a line segment. It is equidistant from both end points, and it is the centroid, both of the segment and of the endpoints.
Midpoint theoremIf M is the midpoint of AB, then AM = AB and MB is ABProve: AM = AB ; MB= ABA M B M is the midpoint of AB.GivenAM = MB or AM = MB~Definition of MidpointAM + MB = ABSegment addition postulate
AM + AM = AB or 2AM = ABSubstitution property (steps 2 and 3)
AM = ABDivision Property
MB = ABSubstitution Property
Angle Bisector TheoremWhat Is Angle Bisector??
Angle BisectorA line that splits an angle into two equal angles. ("Bisect" means to divide into two equal parts.)
Angle Bisector Theorem
Given: If AD bisects