00:01
We're given the diagram that i've drawn right up here of triangle abc that's being split by a segment and we're asked to prove that triangle abd is congruent to triangle c bd.
00:12
Now in this problem we've already been given all the statements on the left side of the column what we have to come up with is the reasons for why these statements are true.
00:22
Now in the prompt for this problem we were given given information so that's just information that we can start off with that we don't have to figure out from the diagram ourselves.
00:31
So the first statement, a, b is congruent to cb, that was actually given information.
00:36
So my reason is just given.
00:39
The second statement, d is the midpoint of ac.
00:42
That's also given information.
00:44
So my reason is also given.
00:47
And sometimes if you're writing your own proofs, they'll split these up into two steps.
00:51
Sometimes you can just make it one big statement and put given just for reason number one.
00:57
Now for step three they have ad is congruent to cd.
01:02
So i have to come up with the reason for this.
01:04
Now it was given that d right here is the midpoint of ac and by the definition of midpoint that means it splits ac into two equal parts.
01:14
So the two parts ad and dc are congruent...