Term
| 3-1 Corresponding Angles Postulate |
|
Definition
If a transversal intersects 2 parallel lines, then corresponding angles are congruent
|
|
|
Term
| Theorem 3-1 Alternate Interior Angles |
|
Definition
| If a transversal intersects 2 parallel lines, then alternate interior angles are congruent |
|
|
Term
| Theorem 3-2 Same-side Interior Angles |
|
Definition
If a transversal intersects 2 parallel lines, then same side interior angles are supplementary
m<1 + m<2 = 180 |
|
|
Term
|
Definition
| is a line that intersects 2 lines a differnt planes (coplaner) at 2 points. |
|
|
Term
|
Definition
| statements that are assumed to be true without proof. Postulates serve two purposes - to explain undefined terms, and to serve as a starting point for proving other statements. |
|
|
Term
|
Definition
| are statements that can be deduced and proved from definitions, postulates, and previously proved theorums. |
|
|
Term
|
Definition
| any pair of angles in similar locations with respect to a transversal |
|
|
Term
|
Definition
| the angle formed by the equilateral (equal in length) sides of an isoscoles triangle |
|
|
Term
|
Definition
| a triangle with two sides of equal length |
|
|
Term
| 3-3 Alternate Exterior Theorem |
|
Definition
| If a transversal intersects 2 parallel lines, then alternate exterior angles are congruent |
|
|
Term
| 3-4 Same Side Exterior Angles |
|
Definition
If a transversal intersects 2 parallel lines, the same-side exterior angles are supplementary
m<2 + m<3 = 180 |
|
|
Term
| Postulate 3-2- Converse of Corresponding Angles Postulate |
|
Definition
| if two lines and a transversal line form corresponding angles which are congruent, then the two lines are parralle |
|
|
Term
| Theoreom 3-5 Converse of Alternate Interior Angles Theorem |
|
Definition
| if two lines and a transversal line form alternate interior angles which are congruent, then the two lines are parralle |
|
|
Term
| Theoreom 3-6 Converse of Same Side Interior Angles Theorem |
|
Definition
| if two lines and a transversal line form same-side interior angles which are congruent, then the two lines are parralle |
|
|
Term
|
Definition
| Arrrows show the logical connections between the statements. The reasons are written below the statements |
|
|
Term
| Theoreom 3-7 Converse of Alternate Exterior Angles Theorem |
|
Definition
| if two lines and a transversal line form alternate exterior angles which are congruent, then the two lines are parralle |
|
|
Term
| Theoreom 3-8 Converse of Same Side Exterior Angles Theorem |
|
Definition
| if two lines and a transversal line form same-side exterior angles which are congruent, then the two lines are parralle |
|
|
Term
|
Definition
| If 2 lines are parrallel to the same line, then they are parallel to each other |
|
|
Term
|
Definition
| In a plane, if two lines are perpendicular to the same line, then they are parrallel |
|
|
Term
|
Definition
| If a line is perpendicular to one of two parrallel lines, then it is also perpendicular to the other line |
|
|
Term
| Theorem 3-12 Triangle Angle-Sum Theorem |
|
Definition
| The sum of the measures of the angles of a triangle is 180 |
|
|
Term
| Theorem 3-13 Triangle Exterior Angle Theorem |
|
Definition
| The measure of each exterior angle of a triangle equals the sume of the measures of its two remote interior angles |
|
|
Term
|
Definition
| is a closed plan figure with at least 3 sides that are segements |
|
|
Term
|
Definition
| has no diagonal with points outside the polygon |
|
|
Term
|
Definition
| Has at least one diagonal with points outside the polygan |
|
|
Term
| Theorem 3-14 Polygon Angel-Sum Theorem |
|
Definition
| The sum of the measures of the angles of an n-gon is (n-2)180. |
|
|
Term
| Theorem 3-15 Polygon Exterior Angle-Sum Theorem |
|
Definition
| The sum of the measures of the exterior angles of a polygon, one at each vertex, is 360. |
|
|
Term
|
Definition
|
|
Term
|
Definition
|
|
Term
|
Definition
| both equilateral and equianglar |
|
|
