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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