Proofs
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PROOFS  PowerPoint PPT Presentation


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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

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.”


Proofs

We will be using all of the Properties of Equality


Proofs

Properties apply to congruency as well…


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)


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