Points, Lines and Planes
Task 1
Make Points A, B, C Collinear
Task 2
Create two line segments on the plane such that[br][math]\frac{ }{AB}\frac{ }{\parallel}\frac{ }{CD}[/math]
Task 3
Create two lines on the plane such that DB [math]\perp[/math] CA
Task 4
Arrange point C and ray BD so that they are coplanar.
Task 5
Make Points A, B, C Collinear, in that order. Now create ray CA and ray CB.
Task 5 Question
Are the rays the same?
Task 6
Create ray AB, add a point C on the ray so B is between A and C.
Create a plane by clicking on 3 points.
When can't you create a plane?
Investigating Planes
Create two planes using the "Plane through 3 Points" tool. Use points A, B, and C to create the first plane.[br]Use points B, C, and D to create the 2nd plane. Click the rotate 3D Graphics view to better see the intersection of these 2 planes.
Why do you think the tool to create a plane requires 3 points? Why not 2 points?
We can name the planes by the 3 points. Name the two planes.
What two points do the planes have in common? Use the rotate tool and look closely at where the planes meet. We call that the intersection. What does the intersection of the two planes look like?
Use the line tool and draw a line through points B and C. Use the rotation tool and take a close look at the intersection.
Points A, B, and C are coplanar because they are on the same plane. Create points E and F that are also coplanar to points A,B, and C using the points tool. Create points G and H that are not coplanar to A,B and C using the points tool.