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20 Cards in this Set
 Front
 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.
