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Postulates-Theorems
Geometry Chapter 3
| Question | Answer |
|---|---|
| Postulate 3.1 | If two parallel lines are cut by a transversal, then each pair or corresponding angles are congruent. |
| Postulate 3.2 | Two non-vertical lines have the same slope if and only if they are parallel. |
| Postulate 3.3 | Two non-vertical lines are perpendicular if and only if the product of their slope is -1. |
| Postulate 3.4 | If corresponding angles are congruent, then the lines are parallel. |
| Postulate 3.5 | If given a line and a point not on that line, then there exist exactly one line through the point that is parallel to the given line. |
| Theorem 3.1 | If two parallel lines are cut by a transversal, then each pair of alternate angles are congruent. |
| Theorem 3.2 | If two parallel lines are cut by a transversal, then each pair of consecutive angles are supplementary or equal to 180. |
| Theorem 3.3 | If two parallel lines are cut by a transversal, then each pair of alternate exterior angles is congruent. |
| Theorem 3.4 | In a plane if a line is perpendicular to a line, then its parallel line is also perpendicular to the line. |
| Theorem 3.5 | If alternate exterior angles are congruent, then lines are parallel. |
| Theorem 3.6 | If consecutive interior angles are supplementary, then lines are parallel. |
| Theorem 3.7 | If alternate interior angles are congruent, then lines are parallel. |
| Theorem 3.8 | If two lines are perpendicular to the same line, then they are parallel. |
Created by:
Shiney444
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