00:02
First, we know that we have the given information.
00:05
And with my pen, just so that i don't have to rewrite everything, we know that goes into the first statement.
00:12
And now let's talk about what it actually would mean.
00:14
If nq is bisecting angle p and r, that would mean that angle 1 is congruent to angle 2.
00:21
That's the definition of bisect.
00:25
So what it means to cut it into congruent parts.
00:29
And now if the lines are parallel in q and m are, then we have, for instance, angle 2, and angle m would be congruent because they're corresponding.
00:45
So i'm going to say corresponding angles congruent when the lines are parallel along with the transversal.
01:01
There's a theorem that's associated with it.
01:04
It's going to be involved with its name corresponding.
01:07
In a similar way, we know that angle 1 would be congruent to angle r because of alternate interior angles are congruent with parallel lines, alternate interior angles, which then would mean that angle m and r are congruent, because if angle m is congruent to 2 and 2 is congruent to 1, and that's congruent to r, they're all sort of interchangeable.
01:57
You could say substitution, you could use the transitive property.
02:06
And then i'm going to finish over here on the side.
02:08
That would mean triangle mnr is is isosceles.
02:19
And the reason for that would be the definition of isosceles triangle...