00:01
To prove that these angles are congruent, we need the distance formula.
00:07
So let's look at the distance of line qr.
00:13
So that's going to be 5 minus 1 squared plus 1 minus negative 5 squared, which is 1 plus 5 squared, which is going to equal 16 plus 36, which equals square root of 52.
00:36
Next, let's look at line qs, which is going to be 1 .1.
00:50
Minus four squared plus negative five minus zero squared, which is going to equal the square root of nine plus 25, which equals the square root of 34.
01:10
Lastly, let's look at line rs for this triangle, using the distance formula again.
01:16
To find the measurement of that line, we know that 5 minus 4 squared plus 1 minus 0 squared is going to, equal the score root of 1 plus 1, which equals the score root of 2.
01:36
Now let's compare that to the other triangle...