# Chapter 2

## 26 terms

If a=b and c=d, then a+c=b+d

### Subtraction Property

If a=b, then a-c=b-d

### Multiplication Property

If a=b, then ca=cb

### Division Property

If a=b and c is not equal to 0, then a/c= b/c

### Substitution Property

If a=b, then one can be substituted in for the other in any equation

a=a

If a=b, then b=a

### Transitive Property

If a=b and b=c, then a=c

### Distributive Property

a(b+c)=ab+ac

ab+bc=ac

m<RST+m<TSW=m<RSW

### Angle Bisector Theorem

BX bisects <ABC so the measure of <ABX is congruent to <XBC and <ABX is congruent to <XBC

### Midpoint Theorem

If M is the midpoint of line AB, then the mA=1/2AB and mB=1/2AB

### Definition of Midpoint

If M is the midpoint of AB, then line AM is congruent to line MB and line AM is congruent to line MB

### Definition of Angle Bisector

BX bisects<ABC so the measure of <ABX is congruent to <XBC

### Definition of Segment Bisector

If ray EB bisects line AF, then E is the midpoint of line AF

### Definition of Right Angle

If <1=90, then <1 is a right angle

### Definition of Complementary Angles

If m<ABC+m<CBD=90, then <ABC and <CBD are complmentary

### Definition of Perpendicular Lines

If l is parallel to m, then m<2=90

### Definition of Supplementary Angles

If M<5+m<6=180, then <5 and <6 are supplementary

### Theorem 2-3

Vertical angles are congruent

### Theorem 2-4

If 2 lines are perpendicular, then they form congruent adjacent angles

### Theorem 2-5

If two lines form congruent adjacent angles, then the lines are perpendicular

### Theorem 2-6

If the exterior sides of two adjacent acute angles are perpendicular, then the angles are complementary

### Theorem 2-7

If two angles are supplements of congruent angles (or the same angle), then the two angles are congruent

### Theorem 2-8

If two angles are complements of congruent angles (or the same angle), then the two angles are congruent