36.Sample answer:Xis at the origin, so place Y(a,b)in the first quadrant.nXYZis scalene, so place Zon the x-axis so that the x-coordinate cis such thatXZ ÞYZÞXY.So, the coordinates of Z are (c,0).37.AB54aAC5¬Ï(02(w22a))w21(2wa20)w2w5¬Ï4a21w4a2wor Ï8a2wCB5¬Ï(022wa)21w(2a2w0)2w5¬Ï4a21w4a2wor Ï8a2wSlope of AwCw5}022a(2220a)}or 1;slope of CwBw5}20a222a0}or21.AwCw' CwBwand AwCw>CwBw, so nABCis a rightisosceles triangle.38.Sample answer: Placing the figures on thecoordinate plane is useful in proofs. We can usecoordinate geometry to prove theorems and verifyproperties. Answers should include the following.• flow proof, two-column proofs, paragraph proofs,informal proofs, and coordinate proofs• Sample answer: The Isosceles Triangle Theoremcan be proved using coordinate proof.39.C;d5¬Ï(232w1)21w[12(w22)]2w5¬Ï1619wor 540.B;1}x112x2},}y112y2}251}2512
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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.