00:03
All right.
00:04
So today we are given this figure and we are asked to identify what is congruent to the following two things.
00:12
This first thing is angle j, g, k.
00:16
And the second thing is side hl.
00:19
So we are going to be utilizing the theory of angle side angle today, which i've written right here.
00:28
And it means that if any two angles and the side between the angles of triangle one are equivalent to the corresponding here are equivalent to the corresponding two angles inside of the second triangle the triangles are congruent so for this first figure how we're going to figure this out is we'll identify that are two triangles that we're looking at so this is triangle one kind of see that it's a triangle and we'll do it in yellow this is triangle two there's a bit of an overlap, but these are our two triangles, the green triangle and the yellow triangle.
01:05
You'll see that we have angle one and angle one.
01:12
The two marks there are to say that those angles are equivalent.
01:18
Angle two, angle two.
01:22
They're equivalent by those two marks.
01:24
Those marks means that those angles have the same value.
01:27
And then these little dash lines right here mean that these sidelines are equivalent as well.
01:32
I haven't really drawn them.
01:33
Very equivalent, but they're equivalent as well.
01:36
So now we have two angles, angle one and angle two, and then the side between them, angle one, angle two, and the side between them are all equivalent, which means that these triangles are congruent.
01:47
So any properties of congruency can be utilized for these triangles.
01:53
So if we have the angle j, g, k on this triangle, that's the same thing.
02:03
See how we're going from the double -lined angle to the unmarked angle to the single -line angle.
02:09
That means in order to find the same angle on the congruent triangle, we're going to go from the double -lined angle to the non -marked angle to the single -marked angle.
02:20
So this is equivalent to angle f -h -l.
02:28
Since those triangles are equivalent or are congruent, that means that all of their angles and sides are congruent, so that angle is the same thing as that angle.
02:39
By the same logic, we can look at h.
02:44
Here, i'll erase this.
02:46
We can look at side hl, which is going from the unmarked angle to the single -line angle.
02:55
We can do the same thing on the yellow triangle, because that was for a green triangle...