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Unformatted text preview: 6-5 Introducing Auxiliary Sets into Proofs (The Use of the Word "Let"
A) The book introduces various things using let a. Example) "Let Q and R be any two points of L." b. We can do the same if we need to. B) Caution a. Make sure the set (line, segment, ray, pint, etc.) exists
b. Don't place too many requirements on this auxiliary set
i. Example) introduce a line segment which bisects another segment AND perpendicular to it C) Look at page 195/196 (a review of postulates and theorems which may be used in introducing sets) "Theorem"
a. D) In any triangle we have b. "Proof" Statement 1)Let D be a point between B and C, Such that BD = DC and Reason 1) two points determine a line 2)Then 3) AD = AD 4) 5) 2) Definition of right angles and all right angles are congruent 3) Reflexive property 4) SAS 5) CPCTC ...
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This note was uploaded on 05/16/2011 for the course ALGEBRA 098 taught by Professor Johnson during the Spring '09 term at Grand Valley State.
- Spring '09