00:01
For a formal proof of the following theorem, if two parallel lines are cut by a transversal, then the pair of alternate exterior angles are congruent.
00:09
So we would be given parallel lines, which i don't know what your choices are for the given, but you would want it to be something like l is parallel to m.
00:30
And we'd want to prove that a pair of alternate exterior angles are going to essentially within alternate exterior pairs would be one and two.
00:38
Want to be showing that angle one is congruent to angle two.
00:43
Okay, so i can see now we'd also be having transversal t.
00:56
So this is the given.
00:58
I'm going to number them here.
01:00
That is your first statement and your first reason is the given.
01:18
And the, so if i, if two lines are cut by a transverseversal, of course, angles are congruent.
01:27
So the corresponding angles in the diagram are two and three.
01:29
They're in the same position.
01:32
So that is angle three is congruent to angle two...