2.10 Unit Test: Reasoning and Proof - Part 1

Question

12345678.1 and 8.29.1 and 9.210.1, 10.2 and 10.3 11.2 and 11.212.1 and 12.2

satis · Answer

When a pair of parallel lines are intersected by a third line , the same side interior angles are supplementary............as sum of supplementary angles ig 180o
  In a right angle triangle, the acute angles are complimentary.............
  In a parallelogram, consecutive angles are supplementary...................
  The argument is valid by law of detachment..................
  The argument is valid by law of syllolism...................................
  The argument is valid by law of syllolism...................................
  It is given that ∠1 ≅ ∠4. By the vertical angle theorem, ∠2 ≅ ∠1. Therefore, ∠2 ≅ ∠4 by substitution property. By the vertical angle theorem, ∠4 ≅ ∠3. So, ∠2 ≅ ∠4 by the transitive property of congruence.
  m∠DEG= 51o, m∠GEF= 39o                      m∠DEG+ m∠GEF     = m∠DEF
  
 
  
 
  
....The sum of complimentary angles ig 90o
  
 
  
sum of supplementary angles ig 180o
  
 
  
...............Statement 1 : If p , then q .            Statement2 : p, Conclusion : q    
 
  
........ State ment1 : If p then q; statement2: if q then r. 
  
  Conclusion   : if p then r
  
........ State ment1 : If p then q; statement2: if q then r. 
  
  Conclusion   : if p then r
  
 
  
 
  
Given                                                     Angle Addition Postulate
  
                        51o+ 39o= m∠DEG
  
                     Substitution Property of equality

Tusharroul · Answer

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2.10 Unit Test: Reasoning and Proof - Part 1

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