00:01
In this question, we are told that adja's teacher asked her to name the line shown and she answered the question by naming the line a, b, c, d, e, f.
00:15
So the question is, what does aja not seem to understand about naming lines and probably rays and segments? and how would you guide her in naming lines, raise and line segments? segments.
00:33
Now, we're going to choose the correct answer and show the work, show the work learning in to provide related calculations and additional reasoning to support your answer.
00:46
Now let's talk about how we name lines.
00:49
A line can be named by stating any two points.
00:55
For example, the line that we have here passes through all the points, a, b, c, d, and f.
01:01
So, so what we need to do to, we just need two points.
01:05
You could say a and f or a and b, whichever two points that we have.
01:11
And then from there we use the symbol for naming lines.
01:16
And a line has no end.
01:19
So we have two arrowheads to represent the fact that it continues infinitely.
01:27
So this is just the line.
01:30
And for array, array starts from a given point and extends infinitely towards one direction.
01:42
So for example, we have if array starts from point a in the direction of f, we're going to call that ray af, and we're going to write the symbol for a ray on top of it.
01:55
And this symbol has a as the endpoint and f as a endpoint.
02:00
A direction in which the ray goes to towards so that's the line the re and for a segment we just need two endpoints for example a f the endpoints of the segment would be a and f and the symbol for the segment would be a bar that means there are no end there are no arrows to show endless continuity so let's look at the options that we have here here and pick the correct answer.
02:33
So in the first option, aja used all the points on the line in attempt to name the line and lines are determined by any two points on the line.
02:45
That's true.
02:46
Line segments are identified by the endpoints.
02:49
That's also true.
02:51
And raise are determined by the vertex and any other point on it.
02:55
Yes.
02:56
So this one would have been the best option.
03:01
Let's look at what's wrong with the other.
03:03
Options.
03:05
Adja did not use all the points...