Geometry Help?

Question

Alright I have 2 questions...

First:
Is the intersection of two planes another plane?

And:
Are verticles ONLY equal if two lines are parallel and cut by a transversal?

Thanks if you can help.
I know I sorda cheated asking two questions, but Geometry is probably the most confusing thing ever.

lol well some of us are a little slow on it.

It's weird... I'm usually good in most of my classes. But this class drives me INSANE. I'm def. gonna need a tutor next semester.

Answer 1

The intersection of two plane is a line. Try to imagine two pieces of paper intersection and you'll see it. (Or look how the wall intersects with the floor.)

Vertical angles are always equal. Take two pencils and you'll see how when they intersect forming vertical angles, no matter how you move them, those angles are equal.

Answer 2

Geometry is just the world of points, lines, planes and other surfaces you see around you every day. Geometry is just learning how they are related and it will help you SEE better.

The floor of your house is a plane, a flat surface. A wall of your house is also a plane, a flat surface.

Now the floor and the wall intersect don't they? They run into each other forming what kind of geometric thing, a point, a line, or another plane?

When you fold a piece of paper two planes are created that intersect in the crease. What kind of geometric thing is a crease? Point, line, or plane?

Vertical angles are the opposite angles formed by two intersecting lines and have nothing to do with parallels. Vertical angles are always equal.

The angles formed when two lines, parallel or non-parallel, crossed by a transversal (any third line crossing both of them), come in pairs. The ones in the same corresponding position are called corresponding angles. The ones on opposite sides of the transversal but "inside" the two other lines are called alternate interior angles.

If two lines are parallel the alternate interior angles are equal. Draw some non-parallel lines and a transversal and eyeball the alternate interior angles. Do you think they are also always equal?

Learn geometry by making lots of drawings of the given information and then look for relationships -- things that are equal, etc.

Draw lots of non-parallel lines and then draw a transversal through them and eyeball or measure the

Answer 3

Is the intersection of two planes another plane?
Only if the two planes are the same plane would there
intersection be a plane.
They could be parallel planes and have no points in common.
If they are not the same and they are not parallel, then
the intersection is a line.
Kelly P's example of a wall and floor is a good example.

Are verticals ONLY equal if two lines are parallel and cut by a transversal?

Vertical angles are always congruent (their measures are always equal) Vertical angles are formed by 2 intersecting lines. So these 2 lines could not be parallel or they would not intersect. The 2 lines forming the vertical angles may or may not be parallel to other lines; but the vertical angles are still congruent.

Answer 4

Take a piece of paper and fold it. Open it up. You have two planes. The crease , which is clearly the intersction of the two planes, is a straight line.

Vertical angles are formed whenever two sytraight lines intersect. Two pairs of vertical angles are formed. Vertical angles are always equal. This ha nothing to do with parallel lines being cut by a transversal.

Answer 5

I will try the first one.

The intersection of two distinct planes is a line if it exists. If the intersection is a plane, then they were both the same plane in the first place. If the two planes are parallel, then they do not intersect.

Answer 6

1. a line
2.You are thinking of alternate interior angles, with the parallel lines intersected by a third line* and yes the lines have to be parallel.
Verticle ANGLES are formed by 2 intersecting lines. The angles opposite each other are called vertical angles, and they are always equal.

Euclidean geometry is based on the assumption that the EARTH IS FLAT but in practical terms it works. Non-Euclidean geometry takes into account the curvature of the earth.

Answer 7

The intersection of two planes is a Line. My math teacher crawled on the floor to teach us this...Think of a wall, and the floor and where they meet. It's a line.

And yes, vertical angles are always equal. If they are not equal, then they are not vertical.

Answer 8

2 planes equals a line

Answer 9

i dont think geometry is THAT confusing