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?
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
Points A, D and Bare on the hypotenuses of similar triangles.
Therefore, AD AB, so the slope of AD is the same as the
slope of AB
D
The triangles are similar, so the sides are proportional:
DE
Ac. Therefore, the slope of AD is the same as the slope
of AB
AN
The triangles are similar, so the sides are proportional:
AE AC and DE BC. Therefore,
DE INC
UN Ac. so the slope of
AD the same as the slope of AB.