The document discusses using The Geometer's Sketchpad (GSP) software to explore mathematical concepts involving variables [a,b] and x. It presents several examples of using GSP to dynamically draw and manipulate geometric shapes and equations as the variables change. GSP allows the user to interactively test relationships and properties of mathematical expressions.

3. [a,b] X 2
1.
[a,b] X
2.
[a,b] X

4. 
[a,b] X

[a,b] X

5. 
[a,b] X
X

6. 
[a,b] x

 The Geometer’s Sketchpad
(GSP)
 [a,b]
x
 [a,b]
x GSP


7. 
1.
[a,b] X
2.
[a,b] X

8. 1.
[a,b] X

12. 2.
[a,b] X
1 2

18. 1.
2.
3.
4.

19. 
[a,b] X

[a,b] X
The Geometer’s Sketchpad (GSP)