Chapter 3 Geometry Postualtes/Theorems
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16 terms
Terms | Definitions |
|---|---|
 Postualte 3.1- Corresponding Angles Postulate | If a transversal intersects two lines, then corresponding angles are congruent |
| Theorem 3.1- Alternate Interior Angles Theorem | If a transversal intersects two lines, then alternate interior angles are congruent |
| Theorem 3.- Same-Side interior Angles theorem | If a transversal intersects two parallel lines, then the same side interior angles are supplementary |
| Theorem 3.3- Alternate Exterior Angles Theorem | If a transversal intersects two parallel lines, then alternate exterior angels are congruent |
| Theorem 3.4- same side exterior angles theorem | if a transversal intercets two parallel lines, then same side exterior angles are supplementary. |
| Postulate 3.2- Converse of corresponding angles postulate | If two lines and a transversal form corresponding angles that are congruent, then the two lines are parallel |
| theorem 3.5- Converse of Alternate interior angles theorem | If two lines and a trnsversal form alternate interior angels that are congruent, then the two lines are parallel |
| Theorem 3.6- Converse of same side interior angles theorem | If two lines and a transversal form same side interior angles that are supplementary, then the two lines are parallel |
| Theorem 3.7- Converse of Alternate exterior angles theorem | If two lines and a transversal form alternate exterior angles that are congruent, then the two lines are parallel |
| Theorem 3.8- Converse of same side exterior angles theorem | If two lines and a transversal form same side exterior angles that are supplementary, then the two lines are parallel |
| Theorem 3.9 | If two lines are paralle to the same line, then they are parallel to eachother |
| Theorem 3.10 | In a plane, if two lines are perpendicular to the same line then thay are paraller to each other |
| Theorem 3.11 | In a plane,is a line is perpenduiclar to one of two parallel lines, then it is also perpenduicular to the other |
| Theroem 3.12- Triangle ANgle sum theorem | The sum of the measure of the angles of a triangle is 180 |
| Theorem 3.13- triangle exterior angle theorem | The measure of each exterior angle of a triangle equals the sum of the measure of its two remote interior angles |
| Theorem 3.14- Polygon angle sum theorem | The sum of the measure of the angles of an n-gon is (n-2)180 |
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