Absolute Value 2

READ the instructions on the right and INTERACT with the C.a.R. applet below.

Created by Steven Lapinski using the Compass and Ruler (C.a.R.) java program.

Investigation Steps

To RESET the construction, click on the browser's Refresh button.

To move the points A, B and C, click the tool.
To reset the animation, click the icon and then the tangent, the circle, and point C.

  1. How does the appearance of the curve change as you move point B closer to point A?
  2. What type of curve is formed when point B coinsides with point A?
  3. How does the appearance of the curve change as you move point B directly above or below of point A?
  4. How does the appearance of the curve change as you move point B directly left or right of point A?
  5. How does the appearance of the curve change as you move point B outside the circle?
  6. What type of curve is now formed?