| Term | Definition |
|---|
| converse | q then p |
| biconditional | when a conditional and its inverse are true p - q iff |
| Law of Detachment | if conditional and its hypothesis are true, then the conclusion is true; if p to q is true and p is true then q is true |
| Law of syllogism | if p then q and q then r then p-r is true |
| Transitive Prop | if a=b and b=c then a=c |
| Symmetric Prop | if a=b, then b=a |
| Reflexive | a=a |
| vertical angles | 2 angles whose sides form 2 pairs of opp rays |
| vertical angles Thrm | are congruent |
| Congruent Supplements Thrm. | if 2 angles are supplements of the same angle, then the 2 angles are congruent |
| Congruent Complements Thrm | if 2 angles are complememnts of the same angle then the 2 angles are congruent |
| Right angles Thrm. | all right angles are congruent |
| Thrm 2-5 | if 2 angles are congruent and supp. then each is a right angle |
| Transversal | a line that intersects 2 coplanar lines at 2 distinct pts |
| Corresponding angles | in same position w/ respect to the intersection |
| alternate interior angles | 2 sides of transversal |
| same-side interior angles | same side of the transversal |
| corresponding angles postulate | if a transversal intersects 2 // lines then the corresponding angles are congruent |
| alternate interior angles therm. | if a transverals intersects 2 // lines then all alt. int. angles are cong. |
| same side interior angles thrm. | if a transversal intersects 2// lines, then the same side int angles are supp |
| converse of corresponding angles pos. | if 2 lines and a transversal form corr. angles that are congruent then the 2 lines are // |
| converse of alt. int. angles | if 2 lines and a transversal form alt. int. angles that are congruent then the 2line are // |
| converse of same-side int. angles thrm. | if 2 lines and a transversal form same side int. angles that are supp. then the 2 lines are // |
| Thrm 3-5 | if 2 lines are parrallel to the same line then thy are parrellel to each other |
| Thrm. 3-6 | in a plane, if 2 lines are perp. to the same line, then they are // to each other |
| Triangle Exterior angle Thrm. | m∠1= m∠2+m∠3 |
| polygon | closed figure w/ at least 3 sides |
| polygon angle sum thrm. | (n-2)180 |
| regular polygon | equiangulare and equilaterial |
| Polygon Exterior angle sum thrm | the sum of the measures of the exterior angles of a polygon = 360 |
| slope intercept form | y=mx+b |
| point slope form | y-y₁=m(x-x₁) |
| slope of parallel lines | same slope different y intercepts |
| slope of perpendicular lines | slope is inverse reciprocal |
| congruent polygon's | have congruent corresponding sides and angles |
| Triangle 3rd angle Theorem | if 2 angles of a triangle are congruent to 2 angles of second triangle then the 3rd angles are congruent |
| Side-Side-Side Postulate | if the 3 sides of a triangle are congruent to 3 sides of a second triangle then the 2 triangles are congruent |
| Side-Angle-Side Postulate | if 2 sides and the included ∠ of a ∇ are ≈ to 2 sides and the included ∠ of a second ∇ then the ∇'s are ≈ |
| 5 ways to prove a triangle is congruent | 1. sas 2. sss 3. all sides and corresponding angles are congruent 4. asa 5. aas |
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