Polygons with equal area

This applet is part of the lesson on Constructing Polygons with Equal Area posted in Mathematics for Teaching blog.


1. Drag point B. What do you notice about the area of the polygon?
2. Drag point A. What polygons are formed? What can be said about its area?
3. Drag points A and C to form a pentagon. 


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4. What must be true about C and D for the area of the pentagon to be equal to the area of the triangle.

Triangles and Quadrilaterals

Given
ABC is a triangle with base b and height h. Points D and E are midpoints of AB and BC, respectively.


Instructions
1. Move the slider h to determine the height of the triangle.
2. Move points A, B, and C to choose the shape of the triangle.
3. Move the circle in slider t to the extreme right transform the triangle into a quadrilateral.
4. Click check box to hide the triangle.

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Questions
1.) After moving slider t, what type of quadrilateral is formed?
1.) What is the relationship between the area of the triangle and the area of the quadrilateral?
2.) Find the area of the triangle in terms of b and h.
3.) Find the area of the quadrilateral in terms of b and h.

Download Applet

Pythagorean theorem

Pythagorean Theorem: In any right triangle, the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares whose sides are the two legs.

view the GeoGebra applet in a new tab.




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Ferris Wheel

I am a little stressed out. I want to relax and ride on a GeoGebra Ferris Wheel.



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Click the Play button to turn the Ferris Wheel.