00:01
In this problem, we're given six separate sets of triangles and asked to state the posture or theorem that proves the triangles are congruent, or if they cannot be proving congruent to simply write, not possible.
00:14
For the first set of triangles, number three, we're given an angle, a side, and an angle, and then an angle, side, angle.
00:24
And because that side is included between these two angles, these triangles are congruent by angle side angle postulate.
00:36
For the second set of triangles, we are only given one side and one angle and one angle one side, and that's not quite enough to prove that the two triangles are congruent, but from the way we've drawn the diagram, we see these triangles actually share one of their sides, this side that i just marked with two dashes.
00:55
And so once i've marked that side in, i have a side, an angle, and then a side.
01:02
Therefore, these triangles are congruent by side, angle, side.
01:07
For number five, notice first that these are both right triangles with those right angles marked in.
01:13
We have that they have congruent hypotenuses, and they have a congruent leg.
01:18
Therefore, since their right triangles, we're able to apply hl theorem, which stands for hypotenuse leg...