Question

match each pair of points with the coordinate that will make a right triangle with its hypotenuse along the graph shown. First-quadrant graph showing a ray through the origin and the points (1, 2), (2, 4), (3, 8), and (4, 8). Column A Column B 1. (1, 2) and (2, 4) 2. (2, 4) and (3, 6) 3. (2, 4) and (4, 8) 4. (1, 2) and (3, 6) A. (3, 2) B. (3, 4) C. (5, 6) D. (2, 2) E. (4, 4)

Answer 1

Creating a right triangle means that their should always be a right angle at the point you will come up with.
So the unique possible solutions are:
(1,2) and (2,4) => (2,2)
(2,4) and (3,6) => (3,4)
(2,4) and (4,8) => (4,4)
(1,2) and (3,6) => (3,2)

By the way you can notice that if you have two points with coordinates (a,b) and (c,d) the point you are looking is always (c,b) because it is always on a parallel of the x-axis and of the y-axis.