00:01
Here we have that a, b, c, d is a rhombus, and there are lots of properties that we can use in a proof about a rhombus.
00:09
First of all, all four sides of a rhombus are congruent.
00:14
Opposite sides of a rhombus are parallel.
00:16
Therefore, any property that we know about a parallelogram can also be used for a rhombus.
00:23
Opposite angles of a rhombus are congruent, and the diagonals bisect at 90 -degree angles.
00:29
So i know that e is a midpoint of ac and bd.
00:35
Here we're trying to prove that triangle a -e -b is congruent to triangle c -e -b.
00:41
So these two triangles.
00:43
In order to do that, we have to use one of the reasons that triangles can be congruent.
00:49
So we have to use either side -side -side -side, side -angle -side, angle -side, angle -side, angle -angle -side, or h -l.
00:57
I'm going to use side, side, side today as the example.
01:01
So what that means is, if i'm using side side side, i need to go ahead and in my statements and reasons specify which sides are congruent in these triangles.
01:14
So first of all, i know that a -b is congruent to b -c by definition of a rhombus.
01:30
So this would be my statement...