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If one of two parallel lines is perpendicular to a plane, the other will also be perpendicular to the same plane.
Elements of Geometry and Trigonometry: With Notes - Page 126
by Adrien Marie Legendre - 1830 - 316 pages

## Schultze and Sevenoak's Plane and Solid Geometry; Revised by Arthur Schultze

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...the ends of a line is a plane perpendicular to the line at its mid-point. PROPOSITION X. THEOREM 504. If one of two parallel lines is perpendicular to a plane, the other is also perpendicular to the plane. Given AB II A'B', and AB _L plane MN. To prove A'B' _L plane MN....

## Essentials of Solid Geometry

David Eugene Smith - Geometry, Solid - 1924 - 256 pages
...(§ 3, 9), and then that AB and CD are each _L to BD (§ 33). .'.AB is II to CD. §9,9 48. Corollary. If one of two parallel lines is perpendicular to a plane, the other is also perpendicular to the plane. For if through any point O of 6 a line is drawn J. to m, how is...