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Prove h meets line AD

Assume that AC < w, A-B-C, and D is a point on AC line segment. Let h be a ray with endpoint C such that h meets BD line interior. Prove that h meets AD line.

Solution Preview

Since D is a point on AC line segment, we have the picture.

A------------------------D----------------C

Since h is a ray with endpoint C such that h meets BD line interior. There are two possibilities as follows

A------------------------D--------B------C

and

A--------------B---------D----------------C

Now since h meets BD line interior. ...

Solution Summary

This is a proof that a ray meets a given line.

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