SOLUTION: a+c/b+d=a-c/b-d and a/b=c/d Show that the given proportions are equivalent...

Question 194740This question is from textbook Geometry
: a+c/b+d=a-c/b-d and a/b=c/d
Show that the given proportions are equivalent... This question is from textbook Geometry

Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
(a+c)/(b+d) = (a-c) / (b-d)
cross multiply
ab -ad +bc -cd = ab +ad -bc -cd
cancelling ab and -cd, on both sides of eqn
combining like terms
-2ad = -2bc
dividing both sides by (-2)
ad =bc
dividing both sides by (bd)
a/b = c/d,,,,,,,,,as required
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