Retrouver le centre d'une homothétie

A first quadrant coordinate plane. The pre-image and image of Triangles labeled N and N prime. The pre-image triange N has vertices at three, five, at four, five, and at four, three. The image triangle N prime has vertices at four, ten, at six, ten, and at six, six. There are points A B C and D plotted with point A at zero, four, point B at seven, twelve, point D at two, zero, and point C at eight, nine.