G-U2b-Definitions&Parallel Lines
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Created by:
mrs--nelson on September 12, 2008
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Properties of Parallel Lines
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15 terms
Terms | Definitions |
|---|---|
 Parallel Lines | Two lines are parallel if and only if they are coplanar and do not intersect. (biconditional) |
| skew lines | lines that do not intersect but are coplanar |
| transversal | a line that cuts across at least 2 other lines which may or may not be parallel |
| || | Symbol for parallel lines |
| corresponding angles | angles in the same position with respect to the transveral and cut lines. If lines are parallel then the angles are congruent. |
| alternate exterior angles | angles outside the cut lines and on opposite sides of transversal. If lines are parallel then the angles are congruent. |
| alternate interior angles | angles on the inside of the cut lines and opposite sides of the transversal. If lines are parallel then the angles are congruent. |
| same side interior | (also called consecutive interior) angles on the same side of transversal and inside the cut lines. If lines are parallel then the angles are SUPPLEMENTARY. |
| slopes of parallel lines | the slopes are congruent |
| conditional statement | If hypothesis, then conclusion (p->q) |
| converse | If conclusion, then hypothesis (q->p) |
| inverse | formed by negating (NOT) both the hypothesis and the conclusion (~p->~q) |
| contrapositive | If NOT conclusion, then NOT hypothesis (~q->~p) |
| counterexample | any situation that would make the logic statement false |
| biconditional | when the conditional AND the converse are both true you combine using "if and only if" (iff) |
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