MathDB
Rectangles and nonadjacent given points

Source:

November 21, 2005
geometryrectangleanalytic geometrygraphing linesslopecircumcircle

Problem Statement

Two nonadjacent vertices of a rectangle are (4,3)(4,3) and (4,3)(-4,-3), and the coordinates of the other two vertices are integers. The number of such rectangles is
<spanclass=latexbold>(A)</span> 1<spanclass=latexbold>(B)</span> 2<spanclass=latexbold>(C)</span> 3<spanclass=latexbold>(D)</span> 4<spanclass=latexbold>(E)</span> 5<span class='latex-bold'>(A)</span>\ 1 \qquad <span class='latex-bold'>(B)</span>\ 2 \qquad <span class='latex-bold'>(C)</span>\ 3 \qquad <span class='latex-bold'>(D)</span>\ 4 \qquad <span class='latex-bold'>(E)</span>\ 5