SOLUTION: in parallelogram abcd, ab=3x+2, dc=10x-12 and ad=5x-2. what kind of parallelogram is abcd? why? Thank you!

Algebra ->  Parallelograms -> SOLUTION: in parallelogram abcd, ab=3x+2, dc=10x-12 and ad=5x-2. what kind of parallelogram is abcd? why? Thank you!      Log On


   

Question 413087: in parallelogram abcd, ab=3x+2, dc=10x-12 and ad=5x-2. what kind of parallelogram is abcd? why?
Thank you!
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi

Parallelogram abcd, ab=3x+2, dc=10x-12 and ad=5x-2. what kind of parallelogram is abcd?

  3x + 2 = 10x -12   |opposite sides congruent

      x = 2 and ab and dc are each 8.     |[ab=(3x+2) and dc=(10x-12)]

 ad = 5x-2; ad = 8, as well as bc = 8  |opposite sides congruent



This Parallelogram is a rhombus by definition: all sides are of equal length