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Inessa05 [86]
3 years ago
8

Rewrite the definition “Perpendicular lines form right angles” as a biconditional statement using “if and only if”

Mathematics
2 answers:
vovangra [49]3 years ago
6 0
Well, to write the definition of "Perpendicular lines form right angel" using "if and only if". the sentence would become :
<em>
</em><em>Two lines are perpendicular if and only if they form a right angle
</em><em>
</em><em />Hope this helps


miss Akunina [59]3 years ago
5 0
 <span>"Two perpendicular lines form right angles." 
p = two lines are perpendicular 
q = two lines form right angles 

p --> q ≡ IF two lines are perpendicular THEN two lines form right angles. 

converse will be: q --> p 
q -->p ≡ IF two lines form right angles THEN two lines are perpendicular. 
this is always true. and there is no counterexample to it. 
therefore q --> p is also always true because this is the definition of two perpendicular lines is fact. 

so we can write bi-conditional statement as p <--> q and say two lines are perpendicular IF AND ONLY IF two lines form right angles.</span>
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