AADE and AABC are similar. Which best explains why the slope of the line between points A and D is the same as the slope between points A and B?
Points A, D and B are on the hypotenuses of similar triangles.
Therefore, AD = AB, so the slope of AD is the same as the
slope of AB.
B
The triangles are similar, so the sides are proportional:
AE = AC and DE=BC. Therefore, DE BC
AE = AC
so the slope of
AD is the same as the slope of AB.
D
The triangles are similar, so the sides have equal lengths.
Therefore, AD = DB, so the slope of AD is the same as the
slope of AB
The triangles are similar, so the sides are proportional:
DE BC
Therefore, the slope of AD is the same as the slope
АБ AC
of AB