In the figure lines 1, m, and n are parallel. A classmate says you can use the corollary to side-splitter theorem to find x. Explain your classmates error.

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Question

In the figure lines 1, m, and n are parallel. A classmate says you can use the corollary to side-splitter theorem to find x. Explain your classmates error.

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anonymous · Answer

please help!!

directrix · Answer

The corollary to the side-splitter theorem states that:

If three parallel lines intersect two transversals, then the segments intercepted on the transversals are proportional.

directrix · Answer

Hint: Look on the diagram and ask yourself if x is a segment on a transversal.

anonymous · Answer

no it is in the middle

directrix · Answer

It is on one of the parallel lines.

So, the corollary does not apply because the segment of measure x is not on a transversal.

anonymous · Answer

thank you!!!