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21 Cards in this Set
 Front
 Back
definition of a segment bisector

segment bisector intersects a segment at it midpoint


reverse definition of a segment bisector

any line that intersects a segment at its midpoint is the segment bisector


definition of a midpoint

midpoint divides a segment into 2 congruent segments


Reverse definition of a midpoint

any point that divides a segment into 2 congruent segments is the midpoint


Definition of an angle bisector

angle bisector divides an angle into 2 congruent angles


Reverse definition of an angle bisector

any ray that divides an angle into 2 congruent angles is the angle bisector


definition of perpendicular lines

peropendicular lines intersect to form right angles


reverse definition of perpendicular lines

any two lines that intersect to form right angles are perpendicular


definition of complementary angles

complementary angles are 2 angles that unite to form a right angle


reverse definition of complementary angles

any 2 angles that unite to form a right angle are complementary


definition of supplementary angles

supplementary angles are 2 angles that unite to form a straight line


reverse definition of supplementary angles

any two angles that unite to form a straight line are supplementary


Supplementary (same angle)

supplements of the same angle are congruent


Supplementary (congruent angles)

supplements of congruent angles are congruent


Complementary (same angle)

complements of the same angle are congruent


Complementary (congruent angles)

complements of congruent angles are congruent


Postulate
(parallel lines to corresponding angles) 
If parallel lines, then corresp. angles are congruent


Theorum
(parallel lines to alt. int. angles) 
If parallel lines, then alt. int. angles are congruent


Theorum
(parallel lines to same side int. angles) 
If parallel lines, then same side int. angles are supplementary


Theorum
(Perp. line to one of two parallel lines) 
If a line is perpendicular to 1 or 2 parallel lines, then it's perp. to the other as well.


5 ways to prove lines are parallel

1. If corresp. angles are congruent, then lines are parallel
2. if alt. int. angles are congruent, then lines are parallel 3. if same side int. angles are supp, then the lines are parallel 4. Two lines perp. to the same line are parallel 5. Two lines parallel to a 3rd line are parallel to each other 