Which sentence explains why the slope of AB is equal to the slope of BC?
1. Triangle ADB is similar to Triangle BEC because the corresponding angles
are congruent. Therefore, AB = BC, so the slope of AB is equal
to the slope of BC.
2. Triangle ADB is similar to Triangle BEC because the corresponding angles
are congruent. Therefore, p = Bre, so the ratio of the rise to the
run is the same in each triangle,
3. Since AD = BE and DB = EC, the proportion AP is the same
as BE/EC, so the ratio of the rise to the run is the same in each
triangle.
4. Triangle ADB is congruent to Triangle BEC because the corresponding
angles are congruent, so the ratio of the rise to the run is the
same in each triangle.