Question

Triangle ABC is a right triangle with right angle C. The coordinate for point C is (2,5). Segment AB is horizontal. The slope of segment AC is 2. What are the possible points for A and B?

Group of answer choices

(5,11)

(-14,13)

(-2,7)

(-8,9)

(3,7)

(7,13)

(-11,11)

(3,9)

Answer 1

Line AC: y = 2x + 1, line BC: y = -1/2 x + 6. From the choices A must lie on y = 2x+1 and B on y = -1/2 x+6, and AB must be horizontal (same y).

From the list the only pair meeting these is A = (3,7) and B = (-2,7).