00:01
In this question, we're going to be proving that a .e, segment a .e, is parallel to segment fd.
00:14
So this is our segment ae.
00:17
And we're going to prove that it's parallel to fd.
00:23
And what we've given, the conditions that we have so far are as follows, that ab is equal to cd, ab, is equal to cd those two segments are congruent and that bf is congruent to c e and also f b is perpendicular to ad so the angle here is right and also ec is perpendicular to ad this angle over here is right okay so so for us to prove, we have a hint here.
01:18
The hint is to show that ac is equal to bd and hence the angle eac, this angle i'm going to mark black, eac is congruent to f.
01:43
Eac is congruent to f.
01:45
Eac is congruent to f.
01:47
Is congruent to f.
01:48
This should be f.
01:51
Sorry, i think there's a problem here.
01:53
It should be f dp.
01:57
Yeah, so we need to change that to fdb.
02:03
So the hint is that whenever we have two angles that are alternate interior angles, if the alternate interior angles happen to be congruent, then we can conclude that the lines are parallel.
02:22
So let's start off by showing that ac equals bd...