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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

PROOFS

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


Proofs

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.”




Equality vs congruency
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
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
Homework:

  • Proofs Worksheet #2 (3 and 4)