Question

Consider the coordinates given and decide whether BC and DE are parallel, perpendicular, or neither B(3, -3), C(-3, -7), D(6, -5), E(0, 4) B(4, -7), C(1, 2), D(2, -8), E(-4, 10) B(-4, 0), C(2, 2), D(1, 4), E(2, 7)

Answer 1

1-B(3, -3), C(-3, -7), D(6, -5), E(0, 4)
2-B(4, -7), C(1, 2), D(2, -8), E(-4, 10)
3- B(-4, 0), C(2, 2), D(1, 4), E(2, 7)

Answer 2

there are 2 ways to solve this:
1. made the cartesian coordinate plane and connect the points to make lines BC and DE. after you draw it, you can see whether it's parallel, perpencular, or neither.

2. by finding their slopes
Given two points (x1,y1) and (x2,y2) on a line, the slope m of the line is: (y2-y1)/(x2-x1)
if BC's slope and DE's slope are the same, they are parallel.
if the BC's slope times DE's slope equal to -1, they are perpendicular.