The applet below shows a two-dimensional and three-dimensional model of the same points, lines, and planes.[br][b][color=#0000ff]Spend a few minutes exploring the objects and how they interact with each other when you move them. Then answer the questions below.[/color][/b]
How many distinct lines can be drawn between points E and G?
Give one name for the gray plane.
Names will vary but must include points from at least two lines on the plane. Ex: Plane CGE or plane FEG
Which lines are coplanar? (select all)
If you draw a line between points F and B, would it be located on the gray plane?[br](Hint: Think of the gray plane as a piece of paper that already has points F and B drawn on it.)
How many planes can go through the noncollinear points D, J, and H?
A line intersects a plane at _______.[br](Hint: Look at the green line and the gray plane.)
Two planes intersects at ______.[br](Hint: Think of the intersection of two faces of the box.)
A line must contain at least _____ points.[br](Hint: Think of the naming conventions.)
A plane must contain at least _____ points.[br](Hint: Think of the naming conventions.)