GEOMETRY CHAPTER 2 JOURNAL. VALERIA IBARGUEN 9-1. CONDITIONAL STATEMENT. This is a type of statement that can be written in a form of “ if p , then q ” P= Hypothesis Q= conclusion EXAMPLES: If m<A =195°, then <A is obtuse
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VALERIA IBARGUEN 9-1
5, 52 > 5
5, 25 > 5
hypothesis: twosegments are congruent
ThegivenAB≅XYstatementsdoes match thehypothesis so theconjecture IS true.
Conjecture: John wastardy at least 3 times.
hypothesis: you are tardy 3 times
Thestatementgiventousmatchestheconclusionof a trueconditiona, butthehypothesisisnottruesince John can be in detentionforanotherreason so theconjectureis NOT valid.
p= themeasureofanangleislessthen 90°
r= theangleisnot a rightangle.
-Thisistryingtoexplainusthatpqandqristheconclusionofthefirstconditionalandthehypothesisofthesecondconditionalyou can tellthat at the en pr. So IT IS VALID
Conjecture: If a numberis divisible by 4, thenitis even.
p= A numberis divisible by 4
q= A numberis divisible by 2
r= A numberis even
-Whatthismeansisthatpqandrq. TheLawofSyllogismcannot be usedtodrawconclusionssinceqistheconlcusionofbothconditionalstatements, even thoughpristruethelogicusedtodratheconclusionisNOT VALID.
a)Prove: x=2 if
Given: angle<1 and < 2 are linear pair
Prove: <1 and <2 supplementary.
Given: <1 and <2 are supplementary <3 and <4 are supplementary.
Given: BE ≅ CE, DE ≅ AE
Prove: AB ≅ CD