Given the coordinates
M(-8,-1)
A(-2,5)
T(3,7)
H(-3,1)
- Plot the quadrilateral on the plane.
-
Prove that the quadrilateral is a parallelogram. Use mathmatics to justify your answer.
Use the slope formula
m =
to show that MA ∥ HT
To find the slope of MA
Use (x1,y1) = (-8,-1)
and where (x2,y2) = (-2,5)
m = = = = 1
To find the slope of HT
Use (x1,y1) = (-3,1)
and where (x2,y2) = (3,7)
m = = = = 1
So MA ∥ HT because the have the same slope of 1 each.
--------------
Use the slope formula
m =
to show that MH ∥ AT
To find the slope of MH
Use (x1,y1) = (-8,-1)
and where (x2,y2) = (-3,1)
m = = =
To find the slope of AT
Use (x1,y1) = (-2,5)
and where (x2,y2) = (3,7)
m = = =
So MH ∥ AT because the have the same slope of each.
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- What special parallelogram is quadrilateral MATH?
This parallelogram is neither a rhombus nor a rectangle, so
there is nothing special about this parallelogram other
than the fact that its coordinates spell "MATH", and math
happens to be the name of the subject you are studying. :)
Edwin