00:01
Hi there.
00:02
This question asks us to draw a triangle, in this case with exactly three lines of symmetry.
00:08
So let's think about triangles and symmetry for a second.
00:13
We have a triangle, a line of symmetry.
00:17
There's some things that we know.
00:19
If we try to draw a line of symmetry off to the side that doesn't go through a vertex, clearly that's not going to be a line of symmetry because we can't reflect one side onto the next side.
00:30
That would not be congruent and it wouldn't coincide with a pre -image.
00:33
So that line is not a line of symmetry.
00:36
So it has to go through a vertex.
00:39
And let's check if we go through a vertex and the opposite side, but not through the midpoint.
00:44
Now again, we can see if we try to reflect across this line, our two sides definitely not congruent.
00:50
And the image won't coincide with the pre -image.
00:53
So that's also not a line of symmetry...