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April 27, 2015

Homework Help: math , correction

Posted by jasmine20 on Monday, January 15, 2007 at 8:33pm.

theres a diagram which in the diagram the points are: (-3,1),(0,3),(2,0),
(-1,-2).

And the directions say:
use the concept of slope to determine if the given figure is a parallelogram or a rectangle:


so this is what i did please can someone check it to see if i am correct.

M[(-3,1) to(0,3)]=(31)/(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)]=(03)/(20) = -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 or the perpendicular to the slope is 2/3
All four corners are perpendicular (forming ninety degree angles). This parallelogram is a rectangle.


correct. Inverse negative slope means perpendicular.

Just a nitpick on the question: Rectangles are parallelograms, you can check the dictionary definition of parallelogram and you will see easily that a rectangle is a parallelogram.

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