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20 Cards in this Set

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