## Geometry Theorms

##### Created by:

dholmes  on October 25, 2009

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# Geometry Theorms

 right angle congruence theormall right angles are congruent
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#### 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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