| A | B |
|---|
| Add. Prop. = | If a = b then a+c = b+c |
| Subtract,. Prop. = | If a = b then a-c = b-c |
| Mult. Prop. = | If a = b then ac =bc |
| Div. Prop. = | If a = b and c not= 0 then a/c = b/c |
| Reflexive Prop. = | For any real number a, a = a |
| Symmetric Prop. = | If a = b then b = a |
| Transitive Prop. = | If a = b, and b = c, then a = c |
| Substitution Prop. = | If a = b, then a may be substituted for b in and expression or equation |
| Segment Add Post | If B is between A and C, then AB + BC = AC |
| Angle Add Post | If two angles are adjacent than the addition of both together = the total measure of a whole angle |
| One line | Through any 2 distinct points ther is exactly ___ |
| 2 | A line contains at least __ points |
| plane | Through any 3 noncolinear points there is exactly 1__ |
| 3 noncolinear | A plane contains at least____points |
| If two distinct points lie in a plane then ___ | the line containing them lies in that plane |
| If two distinct planes intersect, then their intersection is a | line |
| Linear Pair Postulate | If 2 angles form a linear pair, then they are supplementary |
| If 2 distinct lines intersect, then their intersection is exactly __ | point |
| Parallel Post | If there is a line and a point not on that line then there is exactly one line through the point parallel to the given line |
| Perpendicular Postulate | If there is a line and a point not on that line, then there is exactly one line through that point that is perpendicular to the given line |
| Corresponding Angle Postulate | If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent |
| Corresponding Angle Converse | If two lines are cut by a transverse so that corresponding lines are congruent, then the lines are parallel |
| Congruent Supplements Theorem | If two angles are supplementary to the same angle or to congruent angles, then they are congruent |
| Congruent Complements Theorem | If 2 angles are complimentary tothe same angle or to congruent angles ..then they are congruent |
| Vertical Angled Theorem | If 2 angles are verticle angles then they are congruent |
| Transitive Property of parallel Lines | If 2 lines are parallel to the same line, then they are parallel to each other |
| Property of Perpendicular Lines | If 2 coplanar lines are perpendicular to the same line.. then they are parallel to each other.. |
| If 2 lines are perpendicular then they intersect to form __ | Four Right Angles |
| All right angles are ___ | Congruent |
| If 2 lines intersect to form a pair of adjacent congruent angles then the 2 lines are__ | Perpendicular |
| Alternate interior Angles Theorem | If 2 parallel lines are cut by a transversal..then the pairs of alternate interior angles are congruent |
| Consecutive Interior AnglesTheorem | If 2 parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary |
| Alternate Exterior Angles Theorem | If 2 parallel lines are cut by a transversal then the pairs of alternate exterior angles are congruent |
| Perpendicular Transversal Theorem | If a transversal is perpendicular to 1 of 2 parallel lines then it is parallel to the second |
| Alternate Interior Angles Converse | If 2 line are cut by a transversal..so that the alternate interior angles are congruent..then the lines are parallel |
| Consecutive Interior Angles Converse | If 2 lines are cut by a transversalso that consecutive interior angles are supplementary then the lines are parallel |
| Alternate Exterior Angles Converse | If 2 lines are cut by a transversal so that the alternate exterior angles are congruent then the lines are parallel |
