Copy of Diameters & Chords I (VA)
- Author:
- Edward Knote, Tim Brzezinski
Once you slide the slider in the applet below, you'll immediately notice a chord drawn and a diameter drawn to this chord.
Interact with this applet for a few minutes, then answer the questions that follow. As always, be sure to change the locations of the BIG POINTS at any time before re-sliding the slider.
Questions:
1) What does the movement of the pink angle imply about the intersection of the diameter and this chord?
2) Fill in the blank:
In essence, the action you observed from the pink angle implies that this diameter and this chord are __________________.
3) If a diameter intersects a chord in the manner you've described in your response to (2) above, what does this diameter do to this chord? How was this evidenced in the applet above?
4) If a diameter intersects a chord in the manner you've described in your response to (2) above, what does this diameter do to the entire arc this chord intercepts? How was this evidenced in the applet above?
5) Formally prove your responses to exercises (3) and (4) above using a 2-column format.