Question

Now change the size of ΔADE by moving point D to a variety of positions. Check the Show Side Ratios box. What do you observe about the side ratios as you move point D? How do the ratios compare to the ratios that you calculated in part D?

Answer 1

Despite changing the length of DE and the size of ΔADE, the ratios of the corresponding pairs of sides remain the same.

Explanation:

`(BC)/(AB) =(DE)/(AD) ,(AC)/(AB) =(AE)/(AD) , and (BC)/(AC) =(DE)/(AE)`