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Q: The vertices of a triangle are P(–8, 6), Q(1, –3), and R(–6, –3). Name the vertices of Ry-x(pqr) A. P'(-6,-8),Q'(-3,1),R'(3,-6) B.p'(6,-8),Q'(-3,1,),R'(-3,-6) C.p'(-6,8),Q'(3,-1),R'(3,6)
D.p'(6,8),Q'(-3,-1),R(-3,-6) SCHOOL SAYS C is wrong answer
A: a) M has coordinates ((5-1)/2 , (13-5)/2) = (2,4) (b) The slope of PM is (6-4)/(8-2) = 2/6 = 1/3, [ whereas the slope of QR is (13+5)/(-1-5) = 18/(-6) = -3 so PM is perpendicular to QR (c) |PQ| = sqrt (9^2+7^2) sqrt(130) |QR|=sqrt(6^2+18^2) = sqrt( 6^2 + 3^2 6^2) = 6 sqrt(10) |PR|=sqrt(3^2+11^2) = sqrt(9+121) = sqrt(130) so |PR!=|PQ| and the triangle is isosceles ]
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