6.1-6.3: Planes. 11-30-10, 25 days till Christmas excluding today

Once I finished my biology notes, I moved on to this task.

Here is what we learned...

1) not all planes fly

a) a geometric plane is a 2D surface that extends infinitely in all directions. It is defined by any 3 or more points where at least 1 is non-colinear.

b) When planes intersect, the intersection is a line. If a line intersects a plane not containing it, the inter section is exactly one point.

2) Any two lines prove a plain. Parallel, intersecting... BUT WAIT! NOT SKEW! You could probably come up with over 9000 planes to two lines as long as they are not skew.

Let this remind you that skew does not work.

a) When a line intersects a plane, the point of intersection is a "foot." For a line to be perpendicular to a plane, it must be perpendicular to every line passing through the foot.
3) A plane is parallel to a line if they never intersect. A plane is parallel to another plane if they do not intersect, as well.

(They aren't touching)
a) in this picture, with closer review, you'll notice that the parallel planes are being cut by a transversal plane. WHAT DOES THIS MEAN? Not a double rainbow, but all of the lines of intersection are parallel. Makes enough sense, right?

I hope you find this new blog much more helpful.
-Shane McPartlin
Remember: everyday is only as good as you make it.