Show that a Quadrilateral is a Parallelogram Ch 8.3.

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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? 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) Are the slopes of the opposite sides the same? YES DON”T FORGET THAT PARALLEL LINES HAVE THE SAME SLOPE!!!!!

Is it a Parallelogram?

Plot the points and determine whether it is a Parallelogram!