Math Quiz 2.1-2.2 and 2.3-2.4

consecutive interior angles

consecutive interior angles

interior angles that lie on the same side of the transversal

consecutive exterior angles

exterior angles that lie on the same side of the transversal

alternate interior angles

nonadjacent interior angles that lie on opposite sides of the transversal

alternate exterior angles

nonadjacent exterior angles that lie on oppposite sides of the transversal

corresponding angles

angles that lie on the same side of the transversal and on the same side of lines q and r

parallel lines

coplanar lines that do not intersect (indicated by arrows)

skew lines

lines that do not intersect and are not coplanar

parallel planes

planes that do not intersect

corresponding angles postulate

if two parallel lines are cut by a transversal, then each pair of corresponding angles is congruent

alternate interior angles theorem

if two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent

alternate exterior angles theorem

if two parallel lines are cut by a transversal, then each pair of alternate exterior angles is congruent

consecutive interior angles theorem

if two parallel lines are cut by a transversal, then each pair of consecutive interior angles is congruent

consecutive exterior angles theorem

if two parallel lines are cut by a transversal, then each pair of consecutive exterior angles is congruent

vertical angles theorem

if two angles are vertical angles, then they are congruent

linear pairs postulate

If two angles form a linear pair, then those two angles are supplementary

transitive property of congruence

If <1 is congruent to <2 and <1 is congruent to <3, then <2 is congruent to <3

congruent supplements theorem

angles supplementary to the same angle or to congruent angles are congruent

perpendicular transversal theorem

in a plane, if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other.

triangle angle sum theorem

the sum of all of the measures in a triangle is 180

definition of supplementary angles

the measure of both angles is 180 (m<1 +m<2 = 180)

definition of congruence

angles or segments that have the same measure are congruent; If <CBD is congruent to <XYZ, then m<CBD = m<XYZA

angle bisector theorem

If ray AS bisects <MAB, then m<MAS is ½ of m<MAB

converse of corresponding angles postulate

if two lines are cut by a transversal and the corresponding angles are congruent, then the lines a parallel

converse of alternate interior angles theorem

if two lines are cut by a transversal and the alternate interior angles are congruent, then the lines are parallel

converse of alternate exterior angles theorem

if two lines are cut by a transversal and the alternate exterior angles are congruent, then the lines are parallel

converse of consecutive interior angles theorem

if two lines are cut by a transversal and the consecutive interior angles are supplementary, then the lines are parallel

converse of consecutive exterior angles theorem

if two lines are cut by a transversal and the consecutive exterior angles are supplementary, then the lines are parallel

triangle angle sum theorem

the sum of the measures of the angles of a triangle is 180

exterior angle theorem

the measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles

slope formula

m = y2-y1 / x2-x1