Question

Part B:Use the ratios of the side lengths of triangle ABE and triangle BCD to explain your answer to Part A.

Answer 1

same as

Explanation:

Answer 2

The slope of a segment is equal to the ratio of the corresponding vertical side of the triangle to the horizontal side of the triangle.

For the segment AB, the slope is:

`(BE)/(AE)`

For the segment BC, the slope is:

`(CD)/(BD)`

Since the triangles ABE and BCD are similar, then the ratio of corresponding sides of those triangles are the same. Then:

`(BE)/(AE)=(CD)/(BD)`

Which means that the slope of both segments is the same.