1996 AJHSME Problem 17
Source:
July 10, 2011
analytic geometrygeometryAMC
Problem Statement
Figure is a square. Point is the origin, and point has coordinates . What are the coordinates for so that the area of triangle equals the area of square ?[asy]
pair O,P,Q,R,T;
O = (0,0); P = (2,0); Q = (2,2); R = (0,2); T = (-4,0);
draw((-5,0)--(3,0)); draw((0,-1)--(0,3));
draw(P--Q--R);
draw((-0.2,-0.8)--(0,-1)--(0.2,-0.8));
draw((-0.2,2.8)--(0,3)--(0.2,2.8));
draw((-4.8,-0.2)--(-5,0)--(-4.8,0.2));
draw((2.8,-0.2)--(3,0)--(2.8,0.2));
draw(Q--T);label("",O,SW);
label("",P,S);
label("",Q,NE);
label("",R,W);
label("",T,S);
[/asy]NOT TO SCALE