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Unformatted text preview: the mirror surface! Any other pair of segments ( A P and PB ) would give greater total length than the straight path (with A P and PB collinear), so if the straight path A B obeys the law of reection, then we have our proof. Now, since A P is the mirror-twin of AP , then they both approach the mirror surface with the same angle (one from the front side and the other from the back side). And since A P is collinear with PB , then PB also makes the same angle with respect to the mirror surface (by vertex angles). If AP and PB are each degrees away from the front of the mirror, then they are each degrees (where is the complement of ) measured from the normal axis. Thus, the law of reection is consistent with the concept of the shortest light path....
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- Fall '08