Question

What proportional segment lengths verify that BC¯¯¯¯¯∥DE¯¯¯¯¯ ?

Answer 1

Answer:

$\frac{4}{6}$ = $\frac{3.2}{4.8}$

Step-by-step explanation:

i just took the quiz and had the same question.

Answer 2

Answer:

The proportion is equal to  $\frac{4}{10}=\frac{3.2}{8}$

Step-by-step explanation:

we know that

If BC and DE are parallel lines

then

Triangles ADE and ABC are similar

therefore

If two figures are similar, then the ratio of its corresponding sides is equal

$\frac{AD}{AB}=\frac{AE}{AC}$

substitute values

$\frac{4}{6+4}=\frac{3.2}{3.2+4.8}$

$\frac{4}{10}=\frac{3.2}{8}$