Question

HELLP! EASY POINTS!

Explain how to use a graph to determine a point on the coordinate plane that you could use to form a right triangle with the ordered pairs shown.

Answer 1

In this problem, we need to add a point to this graph which creates a right triangle with the given points.

The easiest way to do this is to find a point that is perpendicular to both of the points; more simply put, it has to have the x-coordinate of one of the given points and the y-coordinate of the other given point.

For example, adding the point (50, -14) to the graph satisfies this criteria, using the x-coordinate of (50, 25) and the y-coordinate of (130, -14). However, you could also use the y-coord of the first point and the x-coord of the second to add the point (130, 25). Both points in bold satisfy the criteria.

See the attached image for a graph of these points and the right triangles they create.