Sphere as a LOCUS: Quick Exploration and Prompt
- Tim Brzezinski
In the GeoGebra applet below, 1) Find the slider (on the left) named Animate. Slide this slider completely to the right. 2) Now use the xcoord & ycoord sliders to move the black point (that lies on the sphere) around. 3) Change the value of r by moving the r slider back and forth. After doing so, please answer the QUESTION that appears below the applet. To explore this resource in Augmented Reality (makes a much more effective experience here), see the directions below the applet & question.
How would you describe ALL POSSIBLE LOCATIONS for the LARGE BLACK POINT that lies on the sphere? Describe specifically as best you can.
TO EXPLORE IN AUGMENTED REALITY:
1) Open up GeoGebra 3D app on your device. 2) Go to MENU, OPEN. Under SEARCH, type g7qmdmqw. 3) The Animate slider controls the animation. The xcoord slider controls the x-coordinate of point P. The ycoord slider controls the y-coordinate of point P. The r slider adjusts the radius of the sphere.