Creating 3 Lines to Form a Right Triangle

Creation of this resource was inspired by an Open Middle problem from Tracy Conte.

Directions: Using integers -9 to 9 at most one time each, fill in the boxes to create three lines that form a right triangle on the coordinate plane.

Even though the angles may show you have a right triangle above, algebraically show why you know your setup above is valid.

Same task as above, yet this time create ANOTHER SETUP that is ENTIRELY DIFFERENT from the one you created above. Be sure not to repeat digits!

Even though the angles may show you have a right triangle above, algebraically show why you know your setup above is valid.