3 Points Make a Plane
Instructions
Here we start with Line AB. Are the points on that line sufficient to define a plane?
Start by clicking the circles for the planes named g, h, W, p, q, r, s, and t in the left hand navigation panel.
Next, turn on Point C and lines i and j.
Click and drag to move the view around and examine the construction from different angles. Use the mouse wheel to zoom in and out. You can reset the activity with the refresh symbol in the upper right of the display window.
Reflection
1. Do the points on a line define a single plane?
2. How many planes contain points A, B, and C?
3. If we pick 3 points that make a triangle, is there more than one plane that can be drawn through them?