Testing a Cat Theory
Justin has three cats. He has heard that cats in a room position themselves at equal distances from one another and wants to test that theory. Justin notices that Simon, his tabby cat, is in the center of his bed (at S), while JoJo, his Siamese, is lying on his desk chair (at J). If the theory is true, where will he find Mack, her calico cat? Use the scale drawing of Justin's room shown below, together with (only) a compass and straightedge. Place an M where Mack will be if the theory is true.