Question 65625: use the concept of slope to determine if the given figure is a parallelogram or a rectangle.(draw the diagram to view the image in order to answer this question)
The points are: (2,0),(-1,-2),(-3,1), and (0,3). connect the dots and answer the questions.
Answer by Nate(3500)   (Show Source):
You can put this solution on YOUR website! m[(-3,1) to (0,3)] = (3 - 1)/(0 + 3) = 2/3
m[(-1,-2) to (2,0)] = (0 + 2)/(2 + 1) = 2/3
Opposite sides are parallel, so now we test the other sides.
m[(-3,1) to (-1,-2)] = (-2 - 1)/(-1 + 3) = -3/2
m[(0,3) to (2,0)] = (0 - 3)/(2 - 0) = -3/2
Opposite sides are parallel, so we have a parallelogram.
Rectangle?
m[(-3,1) to (-1,-2)] = (-2 - 1)/(-1 + 3) = -3/2
-m^(-1) or the perpendicular to the slope is 2/3
m[(-1,-2) to (2,0)] = (0 + 2)/(2 + 1) = 2/3
All four corners are perpendicular (forming ninety degree angles). This parallelogram is a rectangle.
|
|
|
