Geometric Proofs - Unit 2

Definition of Angle Bisector

If ray YW bisects angle XYZ, then angle XYW is congruent to angle ZYW

Definition of Adjacent Angles

If 2 angles in same plane share a common vertex and a common side but have no common interior points, the angles are adjacent

Definition of Linear Pair

If a pair of angles is adjacent whose noncommon sides are opposite rays, the angles form a linear pair

Definition of Complementary Angles

If 2 angle measures have a sum of 90 degrees, then the angles are complementary

Definition of Supplementary Angles

If 2 angle measures have a sum of 180 degrees, then the angles are supplementary

Definition of Vertical Angles

If 2 nonadjacent angles are formed by 2 intersecting lines, then the angles are vertical angles

Linear Pair Theorem

If angle 1 and angle 2 form a linear pair, then angle 1 and angle 2 are supplementary

Vertical Angles Theorem

If angle A and angle B are vertical angles, then angle A is congruent to angle B

Congruent Supplements Theorem

If angle 1 and angle 2 and are supplementary & angle 2 and angle 3 are supplementary, then angle 1 is congruent with angle 3

Right Angle Congruence Theorem

If angle A and angle B are right angles, then angle A is congruent to angle B

Common Segments Theorem

If a segment is combined with 2 congruent segments, then the resulting segments are congruent