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two coplanar angles with a common side, a common vertex, and NO common interior points
Congruent supplements theorem
if two angles are supplements of the same angle (or of congruent angles) then the two angles are congruent
Congruent complements theorem
if two angles are complements of the same angle (or of congruent angles) then the two angles are congruent
right angles are congruent
if two angles are congruent and supplementary then each is a right angle
segment addition postulate
if three points A, B, C are collinear and B is between A and C the AB+BC=AC
Angle Addition Postulate
if B is in the interior of <AOC then m<AOB+m<BOC=<AOC
if <AOC is a straight angle then <AOB+<BOC=180
Corresponding angles postulate
if a transversal intersects two parallel lines then corresponding angles are congruent
alternate interior angles theorem
if a transversal intersects two parallel lines then alternate interior angles are congruent
same side interior theorem
if a transversal intersects two parallel lines, then same side interior angles are supplementary
converse of the corresponding angles postulate
if two line and a transversal form corresponding angles that are congruent, then the two lines are parallel
converse of the alternate interior angles theorem
if two lines and a transversal form alternate interior angles that are congruent then the two lines are parallel
converse of the same side interior angles theorem
if two line and a transversal form same side interior angles that are supplementary then the two lines are parallel
parallel lines theorem
if two lines are parallel to the same line then they are parallel to each other
perpendicular lines theorem
in a plane if two lines are perpendicular to the same line then they are parallel to each other
Triangle exterior angle theorem
the measure of each exterior angle of a triangle equals the sum of the measures of its two remote interior angles
polygon exterior angle sum theorem
the sum of the measures of the exterior angles of a polygon one at each vertex is 360
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