36.Opposite sides of a parallelogram are congruent,so AwBw>CwDwand AB5CD.Find x.AB5¬CD2x155212x5¬16x5¬8Consecutive angles in a parallelogram aresupplementary, so /Bis supplementary to /BADand m/BAD5m/CAD1m/BAC.Find y.m/BAD1m/B5¬180m/CAD1m/BAC1m/B5¬1802112y11205¬1802y5¬39y5¬19.537.The Distance Formula is d5Ï(x22wx1)21w(y22wy1)2w.The diagonals bisect each other if EQ5QGandHQ5QF.Find these measures.EQ5Ï(320w)21(1w25)2w55QG5Ï(623w)21(2w321)w2w55HQ5Ï(320w)21[1w2 (2w1)]2w5Ï13wQF5Ï(623w)21(3w21)2w5Ï13wThe diagonals do indeed bisect each other.38.If EG5FH,the diagonals are congruent. Use theDistance Formula to find EGand FH.d5Ï(x22wx1)21w(y22wy1)2wEG5Ï(620w)21(2w325)w2w510FH5Ï(026w)21(2w123)w2w5Ï52w52Ï13wNo, the diagonals are not congruent, since EGÞFH.
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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.