SOLUTION: Use the concept of slope to determine if the given figure is a parallelogram or a rectangle? I think it is a parallelorgram but im not sure. <a href="http://www.uploadfile.inf

Algebra ->  Graphs -> SOLUTION: Use the concept of slope to determine if the given figure is a parallelogram or a rectangle? I think it is a parallelorgram but im not sure. <a href="http://www.uploadfile.inf      Log On


   



Question 43543: Use the concept of slope to determine if the given figure is a parallelogram or a rectangle? I think it is a parallelorgram but im not sure.

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Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
Points: (-1,-2) , (-3,1) , (0,3) , (2,0)
Slope(M) = (y2 - y1)/(x2 - x1) = (-2 - 1)/(-1 + 3) = -3/2
Slope(M) = (y2 - y1)/(x2 - x1) = (3 - 0)/(0 - 2) = -3/2
They are parallel.
Slope(M) = (y2 - y1)/(x2 - x1) = (3 - 1)/(0 + 3) = 2/3
Slope(M) = (y2 - y1)/(x2 - x1) = (0 + 2)/(2 + 1) = 2/3
They are parallel.
The opposite sides are parallel. That means that the shape is a square, so all the angles are 90 degrees.
A rectangle is a quadrilateral where all four of its angles are right angles.
A parallelogram is a quadrilateral that has two sets of opposite, parallel sides.
Isn't it both?