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21 Cards in this Set

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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