00:01
So for this set of questions, we need to use our diagram that i have drawn here, copied it directly from the worksheet, for the first six questions.
00:12
Number one asks for what other names for the line cd are.
00:19
So i have to come up with or look at my diagram, figure out what my other names are.
00:25
I'm going to outline this line in yellow so we know which one we're talking about.
00:31
Right away i see this lowercase letter m and that tells me hey i can use that to help me name this line so i'm going to write down line and then the lowercase letter m this is one way to do this because i know m is not a point doesn't have a dot it's not capital but i can name it this way and i can also see the ray from c to d so i'm using my in my beginning point c and all the way through that ray, that line that goes on and on to d.
01:08
Okay, so for number two, what i want to do for this one is i need to find three non -colonier points.
01:18
And i'm hoping you notice in that word collinear, you will see the word line.
01:26
So i need three points that are not on the same line.
01:29
Let's do that in orange.
01:32
I can see a, b, those are in the same line, but now i can choose any point that's not on that line.
01:38
How about e? so a, b, e are three non -colonier points.
01:46
They're not on the same line.
01:49
For number three, they want us to go ahead and find four co -planar points.
01:56
Again, look at that word.
01:57
Do you see the word plain? i need to find four points that lie on the same plane.
02:05
I already have this a, this b, this e, my fourth point will be this point c.
02:12
They're all on that plane p, which is just that flat surface that extends on and on forever.
02:21
So a, c, b, and e.
02:27
Okay, now on to number four.
02:30
I need to list two opposite rays.
02:35
When i think about opposite rays, i really need to think about where do they have the same point but are going in opposite directions.
02:46
So they have to share that point in opposite directions.
02:50
I can really easily find this by looking for a line.
02:55
I have this nice line here where i have this point c.
02:59
And that's my starting point and then i can have a ray going off towards that point b.
03:07
So capital letters for my notation, that c is my point and i'm going towards b.
03:13
The second ray is again starting at that c.
03:17
That's how i know it's an opposite ray, and it's going in the opposite direction towards that letter a.
03:24
Same type of notation, capital letters, then drawing a ray on top.
03:30
Okay, almost there.
03:32
Number five is asking for the intersection of line l, line m in the plane p.
03:41
I've already marked up line l, line m as my yellow line.
03:50
And all i have to do is find my intersection of that in my plane.
03:54
As i stated before, my plane is the surface that goes on and on forever in every direction.
04:02
And i can really see that i'm going to have this intersection here at point c because of those dotted lines.
04:10
It means part of my line's going to be above the plane, part of it's going to be below.
04:15
So that intersection is going to be at that point c.
04:19
Continue with those capital letters as well.
04:23
Okay, the last one for this section is the intersection of plane p.
04:28
That's the purple plane i drew on there.
04:30
In plane d, c, b.
04:34
We don't have that one marked, so in green, i'm going to first look for those letters, d, then c, then b.
04:44
And again, we're imagining this plane going on and on and on forever because these lines go on and on and on forever, and they touch at that ray, that part where c, b, it's already on the plane p.
04:58
It's going to be on my second plane.
05:01
So it's going to touch at that c, b, ray, which is one that we've named previously too, just like this.
05:12
For our next section, they had a little bit, these are a little bit different.
05:17
They talk about not only a midpoint, but also a bisector...