Definition of congrucent

Definition of midpoint

Definition of segment

Segment Addition 

Definition of congruence

Reflexive Property of Congruence

Segment Addition Postulate

Definition of Midpoint

Definition of Congruence

Segment Addition Postulate

Transitive Property of Congruence

Definition of Midpoint

Reflexive Property

Symmetric Property

Transitive Property

Addition Property

Given; Definition of congruence; Transitive Property; Definition of midpoint

Given; Definition of midpoint; Transitive Property; Definition of congruence

Given; Transitive Property; Definition of midpoint; Definition of congruence

RS + RS = RT

ST + ST = RT

RS + ST = RT

RS = ST

S is the midpoint of

RS = ST

RS = RS

RS + ST = RT

Given; Definition of bisect; Transitive; Given, Definition of bisect

Given; Transitive; Given; Definition of bisect; Definition of bisect

Given; Definition of bisect; Given; Definition of bisect; Transitive

Substitution Property of Equality

Definition of bisect

Definition of midpoint

Segment Addition Postulate

LM = NO

LM = LM

LM = MN

$$\overline{MN}\ \ \cong\ \overline{NO}$$

$$\overline{LM}\ \ \cong\ \overline{MN}$$

$$\overline{LM}\ \ \cong\ \ \overline{LM}$$

$$\overline{LM\ }\ \ \cong\ \ \overline{NO}$$

Vertical Angle Theorem

Definition of Linear Pair

Addition Property

Transitive Property

Definition of parallel lines

Definition of a right angle

Definition of perpendicular lines

All right angles are congruent