Geometry Theorems Study

AB + BC = AC : SAP

If ray BD bisects angle GBC, then the measure of angle GBD= the measure of angle DBC : Definition of angle bisector

If m<3 + m<4= 90, then angle 3 is complementary to angle 4. : Definition of complementary angles

If ray BD bisects angle ABC, then 2 (m<ABD) = the measure of <ABC. : Angle bisector theorem

If B is the midpoint of segment AC, then 2(BC) = AC. : Midpoint Theorem

If B is the midpoint of segment AC, then ray BD bisects segment AC. : Definition of segment bisector

If ray BG is perpendicular to ray BC, then angle GBD is complementary to angle DBC. : If the exterior sides of 2 adjacent acute angles are perpendicular, then the angles are complementary

If <1 is supp. to <5, and <6 is supp to <2, and <5 is congruent to <2, then <1 is congruent to <6. : Supplements of congruent angles are congruent

m<DBC + m<CBH = 180. : AAP