Answer: Line slopes:
m1= 3/2 defined by points (5,3) and (7,6)
m2= -2/3 defined by points (7,6) and (4,8)
m3 = 3/2 defined by points (4,8) and (2,5)
m4 = -2/3 defined by points (2,5) and (5,3)
All comply the orthogonal slopes rule (90º)
Step-by-step explanation:
As those 4 point define a polygon, to check is that polygon is a rectangle, you need to compare the slopes of the lines defined by the 4 points and check that accomplish the following rule:
m1 = -(1/m2). this shows that the slopes are intersected in 90º angle.
