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P o s tu l ate s an d Th e o r e m sP r o p e r ti e s an d P o s tu l ate sSegment Addition PostulatePoint B is a point on segment AC, B is between A and C, if and only if AB + BC = ACConstructionFrom a given point on (or not on) a line, one and only one perpendicular can be drawn to the points determine a straight PostulateThe whole is equal to the sum of its PostulateA quantity may be substituted for its equal in any PostulateIf equal quantities are divided by equal nonzero quantities, the quotients are PostulateIf equal quantities are multiplied by equal quantities, the products are equal. Subtraction PostulateIf equal quantities are subtracted from equal quantities, the differences are PostulateIf equal quantities are added to equal quantities, the sums are PropertyIf a = b and b = c, then a = PropertyA quantity is congruent (equal) to itself. a = a Symmetric PropertyIf a = b, then b = n g l e sExterior AngleThe measure of an exterior angle of a triangle isequal to the sum of the measures of the twonon-adjacent interior Angle theorem (Isosceles Triangle)If two sides of a triangle are congruent, the anglesopposite these sides are Angle Converse(Isosceles Triangle)If two angles of a triangle are congruent, the sidesopposite these angles are SumThe sum of the interior angles of a triangle is 180.

Postulates and Theorems Properties and Postulates Segment Addition Postulate Point B is a point on segment AC, i.e. B is between A and C, if and only if AB + BC = AC Construction From a given point on (or not on) a line, one and

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