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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 ! :)

In The Figure Lines L M And N Are Parallel A Classmate Says You Can Use The Corollary To Sidesplitter Theorem To Find X Explain Your Classmates Error Image Atta class=

Answer :

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:

[tex]\frac{AB}{BC}=\frac{DE}{EF}[/tex]

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".

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