Pre-Calculus Homework Solutions 250

# Pre-Calculus Homework Solutions 250 - parallelogram. Use...

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parallelogram. Use the Distance Formula to determine whether the opposite sides are congruent. AD 5 ¬ Ï ( x 2 2 w x 1 ) 2 1 w ( y 2 2 w y 1 ) 2 w 5 ¬ Ï [ 2 4 2 w ( 2 5)] w 2 1 [2 w 2 ( 2 4 w )] 2 w 5 ¬ Ï 37 w BC 5 ¬ Ï (4 2 3 w ) 2 1 [4 w 2 ( 2 2 w )] 2 w 5 ¬ Ï 37 w AB 5 ¬ Ï [3 2 ( w 2 5)] 2 w 1 [ 2 2 w 2 ( 2 4 w )] 2 w 5 ¬ Ï 68 w CD 5 ¬ Ï ( 2 4 2 w 4) 2 1 w (2 2 4 w ) 2 w 5 ¬ Ï 68 w Since the measures of both pairs of opposite sides are equal, ABCD is a parallelogram. 28. Yes; If the midpoints of the diagonals are the same, the diagonals bisect each other. If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. Find the midpoints of W w Y w and X w Z w . W w Y w : 1 } x 1 1 2 x 2 } , } y 1 1 2 y 2 } 2 5 ¬ 1 } 2 6 2 1 0 } , } 2 5 1 2 ( 2 1) } 2 5 ¬ ( 2 3, 2 3) X w Z w : 1 } x 1 1 2 x 2 } , } y 1 1 2 y 2 } 2 5 ¬ 1 } 2 1 1 2 ( 2 5) } , } 2 4 1 2 ( 2 2) } 2 5 ¬ ( 2 3, 2 3) The midpoints of W w Y w and X w Z w are the same, so WXYZ
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## This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.

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