generic square

crook problem

coordinate proof

 

 

Point A= -12,6

Point B= 12,3

Point C=-12, 0

Point D= 12, -3

 

Coordinate Proof

Slope of sides AB: slope=6-3-12-12  = ⅛

Slope of side CD: slope = (0+3)/(-12-12)=⅛

CD is parallel to AB

ABCD is a parallelogram

If a quadrilateral has two pairs of parallel sides then it is a parallelogram

Midpoint of Diagonals

CA=-12+12/2, 0+3/2 = (0, 3/2)

BD= -12+12/2, 6-3/2 = (0, 3/2)

Same midpoint of diagonals

If diagonals have the same midpoint then they bisect each other

If a quad has diagonals which bisect each other, then it is a parallelogram

Slope of sides

AB = ⅛

Side AC = undefined

Sides are not opposite reciprocals of each other, therefore not right angles

If a parallelogram has no right angles, then it can’t be a rectangle

Therefore: The quad is a parallelogram

parallelogram

Parallelogrom This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com yours truly, 17 December 2013, Created with GeoGebra

rhombus

I created this rhombus by making congruent segments and constructing lines parallel to them.

Rhombus This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com yours truly, 16 December 2013, Created with GeoGebra

Geogebra Loves the Eagles

The Dude hates Geogebra because Geogebra
loves the Eagles

Although, a Geogebra parallelogram could really
tie the room together.

What are we talking about?

You're out of your element Donny. 

 

Geogebra didn't work so...

Geogebra is being difficult for you, isn't it Mr. Torrance.

Yes it is, what do you suggest I do Delbert.

I feel you will have to deal with this matter in the harshest possible way.
When Geogebra didn't work for me I corrected it.

There's nothing I look forward to with
more pleasure, Mr. Grady

Little Geogebra, Little Geogebra, let me create a simple parallelogram without deleting it before I can upload it.









HERE'S JOHNNY!

   GEOGEBRA! Get back HERE! I need to make        a Parallelogram

 WAIT! GEOGEBRA WAIT!
I NEED YOU TO WORK!

 All Work and No Play make Nate a dull boy.

HW 12/9/13