Transitive Property of Parallel Lines If two lines are parallel to the same line, then they are parallel to each other. Perpendicular Postulate If there is a line and a point not on that line, then there is exactly one line that goes through the point perpendicular to the given line. Consecutive Interior Angles Theorem If two parallel lines are cut by a transversal, consecutive interior angles are supplementary Corresponding Angles Converse If two lines are cut by a transversal and corresponding angles are congruent then the two lines are parallel Alternate Interior Angles Converse If two lines are cut by a transversal and Alternate Interior angles are congruent then the two lines are parallel Alternate Exterior Angles Converse If two lines are cut by a transversal and Alternate Exterior angles are congruent then the two lines are parallel Consecutive Interior Angles Converse If two lines are cut by a transversal and consecutive interior angles are supplementary then the two lines are parallel Parallel Postulate If there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line. Alternate Exterior Angles Theorem If two parallel lines are cut by a transversal, alternate exterior angles are congruent. Alternate Interior Angles Theorem If two parallel lines are cut by a transversal, alternate interior angles are congruent. Linear Pair Perpendicular Theorem If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular Definition of Corresponding Angles Definition of Alternate Interior Angles Definition of Alternate Exterior angles Definition of Consecutive Interior Angles Corresponding Angles Postulate If two parallel lines are cut by a transversal, corresponding angles are congruent. The table below provides data on the political affiliation and opinion about the death penalty of 850 randomly selected voters from a congressional district.įavor Oppose Total Republican 299 98 397 Democrat 77 171 248 Other 118 87 205 Total 494 356 850 \begin \neq 299 850 ( 397 ) ( 494 ) = 299.Vertical Angle Theorem Vertical angles are congruent Reflexive Property Symmetric Property Transitive Property Definition of Perpendicular Lines When two perpendicular lines intersect they create four right angles. Point outside a line => perpendicular Though a point outside a line there is exactly one line perpendicular to the given line. Point outside a line => II Through a point outside a line there is exactly one line parallel to the given line. Congruent Complements Theorem If two angles are complements of congruent angles (or the same angle), then the two angles are congruent. Congruent Supplements Theorem If two angles are suppelements of congruent angles (or the same angle), then the two angles are congruent. Perpendicular Exterior Sides Theorem (PEST) If the exterior sides of two adaject acute angles are perpendicular, then the angles are complementary. perpendicular If two lines form congruent adjacent angles, then the lines are perpendicular. Segment Addition Postulate (S.A.P.) If B lies between A and CĪB BC = AC Definition of Angle Bisector If ray OB bicects congruent corr congruent alt.
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