00:01
So if triangle stu is congruent to triangle xyz, that means that st has to be congruent to x, y, t, u has to be congruent to y, z, and then s -u has to be congruent to x, z.
00:27
So we can use a distance formula to figure out if they're congruent.
00:31
So, first off, st.
00:45
Use the distance formula, so i do 0 minus 0 squared plus 5 minus 0 squared, which leads you a 0 plus 5 squared, the square rate of 25 is 5.
01:00
So st equals 5.
01:02
Now for x, y, i have 4 minus 4 squared plus 8 minus 3 squared, that's 0 plus 5 ,000, 2 squared.
01:14
Squared, square way to 25 is going to be 5.
01:20
So those sides are exactly the same.
01:24
Now for tu, so we have 0 minus negative 2 squared plus 0 minus 0 squared.
01:37
Two negatives will make that a positive, so that is 2 squared, which is square root of 4, square to 4 is 2.
01:44
Now for yz, so we have 4 minus 6 squared plus.
01:54
3 minus 3 squared.
01:58
4 minus 6 is negative 2...