Point, Line, Plane Naming

[color=#3c78d8]Undefined terms: [br]A [b]point[/b] is a location and is named by a capital letter.[br]A [b]line [/b]is made up of points and has no thickness or width. It is named with two letters representing points on the line, or a lowercase script letter.[br]A [b]plane[/b] is an infinite flat surface made up of points and is named by a capital script letter or by three letters representing non collinear points on a plane.[br][b]Collinear[/b] points can be contained on a line.[br][b]Coplanar [/b]points can be contained on a plane.[/color]
[size=150][size=200]FIRST DIAGRAM: Drag the diagram around by moving the points (you can even make it spin!).[/size][/size]
1. Name 3 collinear points. (Turn the diagram if needed)
2. Name 3 noncollinear points:
3. Name a plane.
4. Name [math]\text{\overleftrightarrow{AB}}[/math] in a different way. (Choose all that apply)
[br]5. Draw [math]\text{\overleftrightarrow{BD}}[/math], ([icon]/images/ggb/toolbar/mode_join.png[/icon]) and then drag it. Notice how the part of the line that is behind the plane is dashed.[br]Draw plane CEA ([icon]/images/ggb/toolbar/mode_planethreepoint.png[/icon]), and then drag it.[br]Then delete the line and plane that you drew.[br][br]
6. If possible, draw a line through E and C. Are E and C collinear?
7. If possible, draw a line through E, G, and C. Are E, G, and C collinear?
8. If possible, name two points that are non collinear, because you CANNOT draw a line through them.
9. If possible, draw a plane through D, B, and F. Are D, B, and F coplanar?
10. If possible, draw a plane through A, G, E, and B. Move the diagram around to see if the four points are on the plane. Are A, G, E, and B coplanar?
11. If possible, name 3 points that are NOT coplanar, because you CANNOT draw a plane through them.
SECOND DIAGRAM: Use points F, D, and E to drag the rectangular prism around. Then answer the following questions.
12. Name the intersection of [math]\text{\overline{FA}}[/math] and [math]\text{\overline{AE}}[/math].
13. How many planes are in the image?
15. Name two planes that do not intersect.
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Information: Point, Line, Plane Naming