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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.”.

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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…


Equality vs. Congruency

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


Proof Worksheet #2

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)


Homework:

  • Proofs Worksheet #2 (3 and 4)


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