Question

Determine whether the three points are the vertices of a right triangle.

Answer 1

Answer:

A

Step-by-step explanation:

We plot the points (x,y) in the coordinate system and the points are shown in the diagram attached.

We can draw a line y = -6 connecting the RED and BLUE points. Also, we can draw a line x = 9 connecting the BLUE and GREEN points.

The intersection of these two PERPENDICULAR LINES is at the point (9, -6) (as seen --- The blue point).  So, when two perpendicular lines intersect, that point is a right angle.

So, the 3 points given INDEED make a right triangle.

So, correct answer is A