| Term | Definition |
|---|
| transversal | a line that intersects two coplanar lines at two distinct points. |
| Corresponding Angles Postulate | If a transversal intersects two parallel lines, then corresponding angles are congruent. |
| Alternate Interior Angles Theorem | If a transversal intersects two parallel lines, then alternate interior angles are congruent |
| Same-Side Interior Angles Theorem | If a transversal intersects two parallel lines, then same-side interior angles are supplementary. |
| 180 | Same-Side interior angles should add up to... |
| Converse of the Corresponding Angles Postulate | If two lines and a transversal form corresponding angles that are congruent, then the two lines are parallel. |
| Converse of the Alternate Interior Angles Theorem | If two lines and a transversal form alterante interior angles that are congruent, then the two lines are parallel. |
| Converse of the 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. |
| flow proof | a proof in which arrows show the logical connection between the statements. |
| parallel | If two lines are parallel to the same line, then they are _____ to each other. |
| parallel | In a plane, if two lines are perpendicular to the same line, then they are ____ to each other. |
| Triangle Angle-Sum Theorem | The sum of the measures of the angles of a triangle is 180. |
| equiangular | all angles are congruent |
| acute | all angles are acute |
| right | one right angle |
| obtuse | one obtuse angle |
| equilateral | all sides congruent |
| isosceles | at least two sides congruent |
| scalene | no sides congruent |
| remote interior angles | For each exterior angles of a triangle, the two nonadjacent interior angles are its _____. |
| Triangle Exterior Angle Theorem | The measure of each exterior angle of a triangle equals the sum of the measures of its two remote interior angles. |
| polygon | a closed plane figure with at least three sides that are segments. The sides intersect only at their endpoints, and no adjacent sides are collinear. |
| convex polygon | has no diagonal with points outside the polygon. |
| concave polygon | has at least one diagonal with points outside the polygon. |
| dodecagon | 12 sided polygon |
| Polygon Angle-Sum Theorem | The sum of the measures of the angles of an n-gon is (n - 2)180 |
| Polygon Exterior Angle-SUm Theorem | The sum of the measures of the exterior angles of a polygon, one at each vertex, is 360. |
| equilateral polygon | A polygon with all sides congruent. |
| equiangular polygon | A polygon will all angles congruent |
| regular polygon | A polygon that is both equilateral and equiangular. |
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