Question

For which segment lengths is AC¯¯¯¯¯ parallel to DE¯¯¯¯¯ ?

Answer 1

I just took the test, this is the only question i got wrong.

#1-Parallel.

#2-Parallel

#3-Not parallel

Answer 2

Answer:

Step-by-step explanation:

By triangle theorem for similarity we have

AC||DE if and only if

the ratios

$\frac{AD}{BD}=\frac{CE}{EB}$

Option I:

Here we find the ratios are equal to 1/2

Hence parallel

OPtion 2:

Here we get both ratios equal to 2/3 Hence parallel

Option 3:

Here we get I ratio =2/5 and II ratio =4/7

Since the two are not equal we get not parallel