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THEOREMS AND POSTULATES OF GEOMETRY!! Theorem/ Postulate Supplementary Angle Theorem Complimentary Angle Theorem Straight Angle Postulate Whole and Parts Postulate Vertical Angles Theorem Parallel Lines Postulate Parallel Lines Theorem 1 (alt. interior angles) Parallel Lines Theorem 2 (cointerior angles) Parallelogram Angle Theorem 1 Description If two angles are supplements of the same angle, then they are equal in measure If two angles are compliments of the same angle, then they are equal in measure If the sides of an angle for a straight line, then the angle is a straight angle with a measure of 180 degrees For any segment or angle, the measure of the whole is equal to the sum of its non-overlapping parts Vertical angles are equal in measure If two parallel lines are intersected by a transversal, then corresponding angles are equal in measure If two parallel lines are intersected by a transversal, then alternate interior angles are equal in measure If two parallel lines are intersected by a transversal, then co-interior angles are supplementary If a quadrilateral is a parallelogram, then the consecutive angles are supplementary Picture! Parallelogram Angle Theorem 2 If a quadrilateral is a parallelogram, then opposite sides are equal in measure