Question

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

Fill in the boxes to correctly complete the proportion.

Answer 1

The proportion is equal to
`(4)/(10)=(3.2)/(8)`

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

`(AD)/(AB)=(AE)/(AC)`

substitute values

`(4)/(6+4)=(3.2)/(3.2+4.8)`

`(4)/(10)=(3.2)/(8)`

Answer 2

`(4)/(6)` =
`(3.2)/(4.8)`

Explanation:

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