geometry proofs <3

Addition property of equality

If PQ = QT, then PQ + RS = QT + RS

Subtraction property of equality

If JK + KL = MN + KL, then JK = MN

Multiplication property of equality

If ½XZ = XY, then XZ = 2XY

Division property of equality

if a=b, then ab = bc, and c no 0

Substitution property

if VW + WY= ZY, and VW+Wy=XZ, then XZ=ZY

Reflexive property

m<DEF = m<DEF

Symmetric property

if <ABC ≅ <CBD, then <CBD ≅ <ABC

Transitive property

If m<A = m<C, and m<C = m<D, then m<A = m<D

Definition of congruence

If m<LMN = m<MNP, then <LMN ≅ <MNP

Definition of midpoint

if M is the midpoint of AB, then AM = MB

Segment addition postulate

If S is between R and T, then RS + ST = RT

Angle addition postulate

if m<ABD + m<DBC= m<ABC