math , correction
posted by jasmine20
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)]=(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)]=(21)/(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)]=(21)/(13)= 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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