Show that a Quadrilateral is a
Parallelogram
Ch 8.3
First Theorem
Next Theorem
Is this shape a Parallelogram?
Why?
Is it a Parallelogram?
Why or why not?
AND YET ANOTHER
THEOREM!!!
One More…
Is it a parallelogram?
ZOINKS!
Like which
theorem is
it Scoob?!?
Huh?
Theorem
8.9!
Is it a parallelogram?
STAY OFF MY
BISECTED
DIANGONAL
PUNK!
It’s a free
parallelogram!
*COUGH*
THEOREM 8.10
What would x have to be to make
this a parallelogram?
x + 4 = 2x - 1
x + 5 = 2x
5=x
What would x have to be to make
this a parallelogram?
111 + x = 180
x = 69
Graphing Parallelograms
•You will be given points to plot on the coordinate
plane.
•Then you will use distances and slopes to determine
whether it is a parallelogram.
A(1, 1), B(4, 1), C(-1, 3), D(2, 3)
DON”T FORGET
THAT PARALLEL
Are the slopes of the
LINES HAVE THE
opposite sides the same?
SAME SLOPE!!!!!
YES
Is it a Parallelogram?
Plot the points and determine
whether it is a Parallelogram!