SOLUTION: I am really confused with this question, please help Use a coordinate geometry to prove that the quadrilateral OPQR with vertices O(0,0), P(9,3),Q(9,8), and R(-3,4) is an isosce

Algebra ->  Geometry-proofs -> SOLUTION: I am really confused with this question, please help Use a coordinate geometry to prove that the quadrilateral OPQR with vertices O(0,0), P(9,3),Q(9,8), and R(-3,4) is an isosce      Log On


   

Question 85376: I am really confused with this question, please help
Use a coordinate geometry to prove that the quadrilateral OPQR with vertices O(0,0), P(9,3),Q(9,8), and R(-3,4) is an isosceles trapezoid
Answer by venugopalramana(3286) About Me  (Show Source):
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I am really confused with this question, please help
Use a coordinate geometry to prove that the quadrilateral OPQR with vertices O(0,0), P(9,3),Q(9,8), and R(-3,4) is an isosceles trapezoid
SLOPE OF OP=(3-0)/(9-0)=3/9=1/3
SLOPE OF QR=(4-8)/(-3-9)=-4/-12=1/3
HENCE OP||QR
HENCE OPQR IS A TAPEZIUM
OR^2=(-3-0)^2+(4-0)^2=9+16=25
PQ^2=(9-9)^2+(3-8)^2=0+25=25
HENCE
OR=PQ
HENCE IT IS AN ISOSCELES TRAPEZIUM