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PROOFS

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PROOFS

I will successfully write a two-column proof!!!!

Statements / Steps

Justification / Reasons

Always start with the Given

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

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

We will be using all of the Properties of Equality

Properties apply to congruency as well…

Congruency

- When referring to the actual structure (i.e. ABC & FG)
- Whenever you use Properties of 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

Statements

Justifications

- O is the midpoint of MN
- OM = OW

1. Given

2.

2. Def. of Midpoint

3. NO = OM

3. Def. of Congruent

4. NO = OW

- Transitive P. of E. or Substitution P. of E.
- (Steps 1 & 3)

- Proofs Worksheet #2 (3 and 4)