Question

The hypotenuse of right triangle ABC is represented by segment AB, as shown on the graph.

On a coordinate plane, line A B has points (negative 3, negative 4) and (5, 3).

At which point could point C be located?
(–3, 3)
(–3, 2)
(5, –5)
(5, –3)

Answer 1

(-3, 3)

Reason: If C = (−3, 3), then AC is vertical (x = −3) and BC is horizontal (y = 3), so AC ⟂ BC and the right angle is at C. The other points do not make AC perpendicular to BC.