PROOFS I will successfully write a

two-column proof!!!!

Statements / Steps Justification / Reasons

Always start with the Given

Your last statement will always be what you are “proving.”

The justification will be a:• Theorem• Postulate•Definition• Property

We will be using all of the Properties of Equality

Properties apply to congruency as well…

Equality vs. Congruency

Equality• When using

measure/lengths (i.e. m ABC & FG)

• Whenever you need NUMBERS– If you add, subtract,

multiply, divide• Whenever you use

Properties of Equality

Congruency• When referring to

the actual structure (i.e. ABC & FG)

• Whenever you use Properties of Congruency

Proof Worksheet #2

Statements Justifications1. O is the midpoint of MN OM = OW

1. Given

2. 2. Def. of Midpoint3. NO = OM 3. Def. of Congruent

4. NO = OW 4. Transitive P. of E. or Substitution P. of E. (Steps 1 & 3)

NO OM

Homework:

• Proofs Worksheet #2 (3 and 4)