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Semester 1 Review
Review of Chapters 1-5
| Postulate/Theorem | Definition |
|---|---|
| Segment Addition Postulate | If B is between A and C, then AB+BC=AC |
| Through any two points there exists exactly one line. | |
| If two lines intersect, then their intersection is exactly one point. | |
| If two lines intersect, then their intersection is exactly one point. | |
| Through any three non-collinear points there exists exactly one plane. | |
| A plane contains at least three non-collinear points. | |
| If two points lie in a plane, then the line containing them lies in the plane. | |
| If two planes intersect, then their intersection is a line. | |
| Right Angles Congruence Theorem | All right angles are congruent. |
| Linear Pair Postulate | If two angles form a right angle, then they are supplementary. |
| Vertical Angles Congruence Theorem | Vertical angles are congruent. |
| Corresponding Angles Postulate | If two parallel angles are cut by a transversal, then the pairs of corresponding angles are congruent. |
| Alternate Interior Angles Theorem | If two parallel angles are cut by a transversal, then the pairs of alternate interior angles are congruent. |
| Alternate Exterior Angles Theorem | If two parallel angles are cut by a transversal, then the pairs of alternate exterior angles are congruent. |
| Consecutive Interior Angles Theorem | If two parallel angles are cut by a transversal, then the pairs of then the pairs of consecutive interior angles are supplementary. |
| Corresponding Angles Converse | If two parallel angles are cut by a transversal so the corresponding angles are congruent, then the lines are parallel |
| Alternate Interior Angles Converse | If two parallel angles are cut by a transversal so the alternate interior angles are congruent, then the lines are parallel |
| Alternate Exterior Angles Converse | If two parallel angles are cut by a transversal so the alternate exterior angles are congruent, then the lines are parallel |
| Consecutive Interior Angles Converse | If two parallel angles are cut by a transversal so the consecutive interior angles are supplementary, then the lines are parallel |
| Transitive Property of Parallel Lines | If two lines are parallel to the same line, then they are parallel to each other. |
| If a slope has a zero in the denominator, then the slope is.. | undefined. |
| Slopes of Parallel Lines | In a coordinate plane, two non-vertical lines are parallel if and only if they have the same slope. Any two vertical lines are parallel. |
| Slopes of Perpendicular Lines | Parallel lines have opposite reciprocals of slopes. |
| Theorum 3.8 | If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular. |
| Perpendicular Transversal Theorem | If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other. |
| Lines Perpendicular to a Transversal Theorem | In a plane, if two lines are perpendicular to the same line, then they are parallel to each other. |
Created by:
jamie_geometry9
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