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 are proportional:

AE = AC and DE = BC. Therefore, De = BC, so the slope of

AD is the same as the slope of AB.

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

The triangles are similar, so the sides are proportional:

DE = BC. Therefore, the slope of AD is the same as the slope

of AB

AE C

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