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21 Cards in this Set
- Front
- Back
definition of a segment bisector
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segment bisector intersects a segment at it midpoint
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reverse definition of a segment bisector
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any line that intersects a segment at its midpoint is the segment bisector
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definition of a midpoint
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midpoint divides a segment into 2 congruent segments
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Reverse definition of a midpoint
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any point that divides a segment into 2 congruent segments is the midpoint
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Definition of an angle bisector
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angle bisector divides an angle into 2 congruent angles
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Reverse definition of an angle bisector
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any ray that divides an angle into 2 congruent angles is the angle bisector
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definition of perpendicular lines
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peropendicular lines intersect to form right angles
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reverse definition of perpendicular lines
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any two lines that intersect to form right angles are perpendicular
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definition of complementary angles
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complementary angles are 2 angles that unite to form a right angle
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reverse definition of complementary angles
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any 2 angles that unite to form a right angle are complementary
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definition of supplementary angles
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supplementary angles are 2 angles that unite to form a straight line
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reverse definition of supplementary angles
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any two angles that unite to form a straight line are supplementary
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Supplementary (same angle)
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supplements of the same angle are congruent
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Supplementary (congruent angles)
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supplements of congruent angles are congruent
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Complementary (same angle)
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complements of the same angle are congruent
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Complementary (congruent angles)
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complements of congruent angles are congruent
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Postulate
(parallel lines to corresponding angles) |
If parallel lines, then corresp. angles are congruent
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Theorum
(parallel lines to alt. int. angles) |
If parallel lines, then alt. int. angles are congruent
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Theorum
(parallel lines to same side int. angles) |
If parallel lines, then same side int. angles are supplementary
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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.
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5 ways to prove lines are parallel
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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 |