1.Without using Pythagorus theorm, prove that the points (-4,-3), (-2,2),(8,-2)are the vertices of a right angled triangle.

2. The 3 vertices of a parallelogram taken in order are (3,4),(-2,3), (-3,-2).Find the coordinates of the fourth vertex ?

1 answer

1. Show that two of the three line segments have slopes that are negative reciprocals of each other.

2. let the fourth point be (x,y)
Make a sketch to see which lines would be parallel.
You will have 2 equations in 2 unknowns