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21 Cards in this Set
 Front
 Back
All right angles are congruent

Right Angle Congruence Theorem


If two angles are supplementary to the same angle (or to congruent angles) then they are congruent m>1+m>2=180 m>2 +m>3=180 <1=<3

Congruent Supplements Theorem


If two angles are complementary to the same angle (or to congruent angles) then the two angles are congruent
M>4 + M>5=90 M>5 + M>6=90 4=6 
Congruent Complements Theorem


Two angles form a linear pair they are supplementary
m<1 + m<2=180 
Linear Pair Postulate


Verticle Angles are congruent

Vertical Angles Theorem


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

Parallel Postulate


If there is a line and a point not on the line, then there is exactly one line through the point perpendicular to the given line

Perpendicular Postulate


If two lines intersect to form a linear pair of congruent angles they are perpendicular

Theorem 3.1


If two sides of two adjacent acute angles are perpendicular, then the angles are complementary

Theorem 3.2


If two lines are perpendicular then they intersect to form 4 right angles

Theorem 3.3


If two parallel line are cut by a transversal, then the pairs of corresponding angles are congruent

Corresponding Angles Postulate


If two parallel lines are cut by a transversal then the pairs of alternate interior angles are supplementary

Alternate Interior Angles Theorem


If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary

Consecutive Interior Angles Theorem


If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent

Alternate Exterior Angles Thereom


If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other

Perpendicular Transversal


If two lines are cut by a transversal so taht corresponding angles are congruent, then the lines are parallel

Corresponding Angles Converse Postulate


IF two lines are cut by a transversal so that alternate interior angles are congruent, then the lines are parallel

Alternate Interior Angles Converse


If two lines are cut by a transversal so that consecutive interior angles are supplementary then the lines are parallel

Consecutive Interior Angles Converse


If two lines are cut by a transversal so that alternate exterior angles are congruent then the lines are parallel

Alternate Exterior Angles converse


If two lines are parallel two the same line then they are parallel to each other

Theorem 3.11


If two lines are perpendicular to the same line then they are parallel to each other

Theorem 3.12
