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20 Cards in this Set
- Front
- Back
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Properties of Segment Congruence
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Segment congruence is reflexive, symmetric, and transitive.
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Properties of Angle Congruence
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Angle congruence is reflexive, symmetric, and transitive.
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Right Angle Congruence Theorem
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All right angles are congruent.
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Congruent Supplements Theorem
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If two angles are supplementary to the same angle (or to congruent angles) then they are congruent.
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Congruent Complements Theorem
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If two angles are complementary to the same angle (or to congruent angles) then they are congruent.
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Vertical Angles Theorem
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Vertical angles are congruent.
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Theorem 3.1
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If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular.
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Theorem 3.2
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If two sides of two adjacent acute angles are perpendicular, then the angles are complementary.
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Theorem 3.3
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If two lines are perpendicular, then they intersect to form four right angles.
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Alternate Interior Angles
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If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.
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Consecutive Interior Angles
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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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Alternate Exterior Angles
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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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Perpendicular Transversal
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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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Alternate Interior Angles Converse
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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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Consecutive 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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Alternate Exterior 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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Theorem 3.11
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If two lines are parallel to the same line, then they are parallel to each other.
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Theorem 3.12
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In a plane, if two lines are perpendicular to the same line, then they are parallel to each other.
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Triangle Sum Theorem
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The sum of the measures of the interior angles of a triangle is 180°
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Corollary to Triangle Sum Theorem
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The acute angles of a right triangle are complementary.
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