SOLUTION: given: points N (-1,-5), P( 0,0),Q (3,2) AND T(8,1)SHOW NPQT IS AN ISOSCELES TRAPEZOID

Question 36177This question is from textbook
: given: points N (-1,-5), P( 0,0),Q (3,2) AND T(8,1)SHOW NPQT IS AN ISOSCELES TRAPEZOID This question is from textbook

Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
given: points N (-1,-5), O( 0,0),P (3,2) AND Q(8,1)SHOW NPQT IS AN ISOSCELES TRAPEZOID
SLOPE OF OP =(Y2-Y1)/(X2-X1)=(2-0)/(3-0)=2/3
SLOPE OF NQ =(1+5)/(8+1)=6/9=2/3
HENCE OP IS PARALLEL TO NQ
FURTHER
ON^2=(0+1)^2+(0+5)^2=1+25=26
PQ^2=(8-3)^2+(1-2)^2=5^2+1^2=25+1=26
HENCE ON =PQ
HENCE OPQN IS AN ISOCELLES TRAPEZIUM.
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