00:01
So we're given this diagram in this problem and asked to first list the key steps of the proof and then to write a proof in two column form.
00:15
So key steps.
00:22
Well, we always start with the given, don't we? so we're given that lf is congruent to kf and l .a is congruent to kf.
00:44
Okay.
00:46
In the next step, let's say, let's make the statement that f -a is congruent to f -a.
00:56
That's pretty obvious, right? that's all one line segment down there.
01:00
And so now i've got two triangles here where all three sides are congruent.
01:07
That means i could say that these two triangles are congruent.
01:10
So triangle f -l -a is congruent to triangle f -k.
01:18
Well, if these are congruent triangles the way they're laid out, then that means that measure of angle 1 is congruent to the measure of angle 2, right? okay.
01:38
Well, what can we also say? we could also make the statement that the length of line segment fj is congruent to itself.
01:52
Okay.
01:52
So then that means what? well, let's look at this for a second.
01:59
I have fj and fl.
02:05
Fj is congruent to fl.
02:08
Fl is congruent to fk by that given, and these angles 1 and 2 are congruent...