Question

In the figure lines l, m, and n are parallel. A classmate says you can use the corollary to side-splitter theorem to find x. Explain your classmate's error. (image attached)thank you ! :)

Answer 1

The corollary to the side-splitter theorem is the following.

If we have two transversal lines to three parallel lines, like this:

The following proportion holds:

`(AB)/(BC)=(DE)/(EF)`

Therefore, the corollary relates the sides of the figure and not the distance between the transversal. Therefore, the corollary can't be used to determine the value of "x".