Parallelogram

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)

Thomas Yee, January 23, 2011, Created with GeoGebra














WINTER BREAK APPLET

Winter Break Exercise: Vectors

One of the pages discussed was a page about adding two vectors together, so I have done that here.

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)

Thomas Yee, Created with GeoGebra



















Reflection

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)

Created with GeoGebra










I was having problems with the code so this took a while to put up.

Translation Via Vector

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)

Thomas Yee, Created with GeoGebra








Seq.

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)

Thomas Yee, Created with GeoGebra








Decorations

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)

Thomas Yee, Created with GeoGebra




8. If you were writing a geometry book, and you had to define a mathematical figure called a kite, how would you word your definition?

In a Wikipedia search, I found the result, "In geometry a kite is a quadrilateral with two disjoint pairs of congruent adjacent sides, in contrast to a parallelogram, where the congruent sides are opposite."

Now let's take this apart Glenn Beck style. THAT is FUNNY

Quadrilateral: A four sided shape such as a square or a rectangle
Disjoint: Separated at the the joints

What do we have so far? A four sided shape that is disconnected at the joints. Interesting...

Congruent: Equal in size
Adjacent: Side by side


Congruent: Of equal value
Opposite: Reverse value.

Now we got rid of all the big math words lets redefine what a kite is.

A kite is a four sided shape with two pairs of side-by-side sides that are equal in size, and is different than a parallelogram - which has equal sides but of the reversed value.



How to make an Octagon

Step 1:
First, start by making a circle


Step 2:


Then make a line through a point on the outside of the circle and the center point.

Step 3:


Create a perpendicular line on point A

Step 4:


Using the angle bisector tool, you can divide the circle into eight parts

Step 5:

After making intersection points on the circle and connecting those points,
(however keep in mind that only point B is able to be dragged).

DRAG-TESTABLE OCTAGON APPLET COMING SOON





http://madeiramath2.wikispaces.com/Page+8+Problem+5


Portfolio Problem (Ill create a link at some point for this, but for now deal with it)

A plane is takes off at point (0,0) and is able to fly to point (20, 5) in 2 minutes, traveling linearly. A Second fighter plane, who wants to shoot down the first plane, spots the enemy and speeds to intercept him. The fighter pilot calculates in his head that he would be able to lock on the enemy after the enemy has been flying for 5 minutes. The Fighter pilot, however, gets a radio call and from the scouting reports, there is an Anti-Aircraft Gun at (50,12.5). The Fighter pilot must circumnavigate the AA's range so that he will not get shot down him self, and he must speed up to intercept the plane so he may complete the mission.