Geometric Proofs

S: <1 is congruent to <2
R: vertical angles are congruent

S: JK is congruent to XY
R: transitive property of congruence

S: m<1 + m<2= 180
R: Defintion of supplementary angles

S: CD+DE=CE
R: segment addition postulate

S: x=50
R: multiplication property of equality

S: <2 and <3 are congruent
R: complements of same angles are congruent

S: <AOB is congruent to <COB
R: Angle Bisector Theorem

S: m<1 + m<2= 90
R: definition of complementary angles

S: <1 + <2 are supplementary
R: linear pairs are supplementary

S: m<AOC = 90
R: definiton of right angles

S: x=60
R: addition property of equality

S: line segment BD is congruent to line segment BD
R: Reflexive property of congruence

S: EF + BC = AC
R: Substitution property

S: AM + MB + AB
R: Midpoint Theorem

S: <1 + <2 = <AOC
R: angle Addition Postulate

S: ST is congruent to JK
R: symmetric Property of congruence

S: <1 is congruent to <3
R: Angles supplementary to same angles are congruent

S: <1 and <2 are congruent
R: all right angles are congruent