Theorems Flashcards
Congruent Complement Theorem
Complements of congruent angles are congruent
Complementary angles
Two angles that equal 90°
Corollary
A true statement that is a simple deduction from a theorem or postulate - requires only a few statements to prove it
Corollary to Congruent Complements Theorem
Complements of the same angle are congruent
Supplementary angles
Two angles that equal 180°
Congruent Supplements Theorem
Supplements of congruent angles are congruent
Corollary to Congruent Supplements Theorem
Supplements of the same angle are congruent
Linear pair
Two adjacent angles formed by two intersecting lines
Linear Pair Postulate
If two angles form a linear pair, then they are supplementary
Vertical angles
The opposite angles formed when two lines intersect
Vertical Angles Theorem
If two lines intersect, then vertical angles are congruent
Corresponding angles
Angles that are in the same position on two parallel lines in a relation to a transversal
Corresponding Angles Theorem
If two parallel lines are intersected by a transversal, then corresponding angles are congruent
Alternate Exterior Angles Theorem
If two parallel lines are intersected by a transversal, then alternate exterior angles are congruent
Alternate Interior Angles Theorem
If two parallel lines are intersected by a transversal, then alternate interior angles are congruent
