# Postulates, Properties, and Theorems in Ch 2

## 20 terms · List of postulates, properties, and theorems for ch. 2

if x=7, then x+3=10

### subtraction PoE

if x=10, then x-3=7

### multiplication PoE

if a=b, then ac=bc

### division PoE

if a=b and c ≠ 0, then a/c=b/c

a=a

if a=b, then b=a

### transitive PoE

if a=b and b=c, then a=c

### substitution PoE

if a=b, then b can be substituted for a

a(b+c)=ab+ac

### reflexive PoC

figure A ≅ figure A

### symmetric PoC

if <A ≅ <B, then <B ≅ <A

### transitive PoC

if <A ≅ <B and <B ≅ <C, then <A ≅ <C

### one half bisector theorem

if ray BX is the bisector of <ABC, then m<ABX=1/2(m<ABC) and m<XBC=1/2(m<ABC)

### one half midpoint theorem

if M is the midpoint of segment AB, then AM=1/2(AB) and MB=1/2(AB)

### linear pair theorem

If two angles form a linear pair, then they are supplementary

### congruent supplements theorem

if two angles are supplementary to the same angle or two congruent angles, then the two angles are congruent

### right angle congruence theorem

all right angles are congruent

### congruent complements theorem

if two angles are complementary to the same angle or to two congrent angles, then the two angles are congruent

### vertical angles theorem

vertical angles are congruent

### if two congruent angles are supplementary, then each angle is a right angle

if two congruent angles are supplementary, then each angle is a right angle