Geometry Theorms
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19 terms
Terms | Definitions |
|---|---|
 right angle congruence theorm | all right angles are congruent |
| congruents supplements theorm | if two angles are supplementary to the same angle, then they are congruent |
| congruent complements theorm | if two angles are complementary to the same angle, then the two angles are congruent |
| vertical angles theorm | vertical angles are congruent |
| 3.1 | if two lines intersect to for a linear pair of conruent angles, then the lines are perpendicular |
| 3.2 | if two sides of two adjacent acute ngles are perpendicular then the angles are complementary |
| 3.3 | if two lines are perpendicular, then they intersect to form four right angles |
| alternate interior angles | if two parallel lnes are cut bya transvesal, then the pairs of alternate interior angles are congruent |
| consecutive interior angles | if wo parallel lines are cut by a transversal, the the pars of conecutive interior angles are congruent |
| alternate exterior angles | if two parallel lines are cut by a transversal, then te airs of alternate exterior angles are congruent |
| perpendicular transversal | if a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other |
| alternate interior angles converse | if two lines are cut by a transversal so that consecutive interior angles are congruent, then the lines are parallel |
| consecutive interior angles converse | if two lines are cut by a transversal so that consecutive interior angles are supplementasy, then the lines are parallel |
| alternate exterior angles converse | if two lines are cut by a transveral so that alternate exterior angles are congruent, then the lines are parallel |
| 3.11 | if two lines are parallel to the same line, then they are parallel to each other |
| 3.12 | in a plane, if two lones are perpendicular to the same line, then they are parallel to eachother |
| triangle sum theorm | the sum of the measures of the interior angles of a triangle is 180 |
| corollary | the acute angles of a right triangle are complementary |
| exterior angles theorm | the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non adjacent interior angles |
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