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21 Cards in this Set
- Front
- Back
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All right angles are congruent
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Right Angle Congruence Theorem
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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
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Congruent Supplements Theorem
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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
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Two angles form a linear pair they are supplementary
m<1 + m<2=180 |
Linear Pair Postulate
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Verticle Angles are congruent
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Vertical Angles Theorem
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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
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Parallel Postulate
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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
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Perpendicular Postulate
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If two lines intersect to form a linear pair of congruent angles they are perpendicular
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Theorem 3.1
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If two sides of two adjacent acute angles are perpendicular, then the angles are complementary
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Theorem 3.2
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If two lines are perpendicular then they intersect to form 4 right angles
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Theorem 3.3
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If two parallel line are cut by a transversal, then the pairs of corresponding angles are congruent
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Corresponding Angles Postulate
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If two parallel lines are cut by a transversal then the pairs of alternate interior angles are supplementary
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Alternate Interior Angles Theorem
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If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary
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Consecutive Interior Angles Theorem
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If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent
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Alternate Exterior Angles Thereom
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If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other
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Perpendicular Transversal
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If two lines are cut by a transversal so taht corresponding angles are congruent, then the lines are parallel
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Corresponding Angles Converse Postulate
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IF two lines are cut by a transversal so that alternate interior angles are congruent, then the lines are parallel
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Alternate Interior Angles Converse
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If two lines are cut by a transversal so that consecutive interior angles are supplementary then the lines are parallel
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Consecutive Interior Angles Converse
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If two lines are cut by a transversal so that alternate exterior angles are congruent then the lines are parallel
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Alternate Exterior Angles converse
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If two lines are parallel two the same line then they are parallel to each other
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Theorem 3.11
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If two lines are perpendicular to the same line then they are parallel to each other
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Theorem 3.12
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