Cumilitive Review 5 High School

Question

Prove that triangle ABC with points A(-2,3) B(0,-3) and C(3,-2) are a right angle using perpendiculary

Answer 1

Slope is (change in y)/(change in x)

Slope of line AB = (-3 - 3)/(0 - (-2)) = -3

Slope of line BC = (-2 - (-3))/(3 - 0) = 1/3

Lines are perpendicular if their slopes are negative reciprocals, so lines AB and BC are perpendicular, which means they meet at a right angle