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" If two parallel lines are cut by a transversal, the corresponding angles are equal. "
Second-year Mathematics for Secondary Schools - Page 7
by Ernst Rudolph Breslich - 1916 - 348 pages
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Plane Geometry

Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 328 pages
...Parallel line post. § 178. 6. The supposition that 190. Cor. I (Converse of Cor. I of Prop. XXII). If two parallel lines are cut by a transversal, the corresponding angles are equal. Given two || lines XY and MN % cut by the transversal AB, forming corresponding A1 and 2. jy ^\2 N\...
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Plane Geometry

Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 pages
...that ZA OH =£ Z DHG has been proved false. \ \ 190. Cor. 1 (Converse of Cor. I of Prop. XXII). // two parallel lines are cut by a transversal, the corresponding angles are equal. A\ Given two || lines XY and MN cut by the transversal AB, forming corresponding A 1 and 2. To prove...
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Solid Geometry

Clara Avis Hart, Daniel D. Feldman - Geometry, Solid - 1912 - 220 pages
...two straight lines are perpendicular to a third straight line, they are parallel to each other. 190. If two parallel lines are cut by a transversal, the corresponding angles are equal. 192. If two parallel lines are cut by a transversal, the sum of the two interior angles on the same...
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Schultze and Sevenoak's Plane Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...230. In the same diagram, if AB II CD, and AD II BC, then Z JS = Z D. B PROPOSITION XIX. THEOREM 106. If two parallel lines are cut by a transversal, the corresponding angles are equal. [Converse of Prop. XIV.] IF Given parallel lines AB and CD and the cor. A 1 and 2. To prove Z 1 = Z...
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Plane and Solid Geometry

Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 378 pages
...will they be parallel ? Connect your answer with §§ 56-58. 59. Theorem X. (Converse of Theorem IX.) If two parallel lines are cut by a transversal, the corresponding angles are equal. Given the two parallel lines AB _ and CD cut by the transversal / ST, making corresponding angles ^/_\...
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Plane Geometry

Walter Burton Ford, Earle Raymond Hedrick - Geometry, Modern - 1913 - 272 pages
...will they be parallel ? Connect your answer with §§ 56-58. 59. Theorem X. (Converse of Theorem IX.) If two parallel lines are cut by a transversal, the corresponding angles are equal. Given the two parallel lines AB T and CD cut by the transversal ./ 8T, making corresponding angles...
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Solid Geometry

Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 176 pages
...point only one perpendicular can be drawn to a given line. 59. Theorem X. (Converse of Theorem IX.) If two parallel lines are cut by a transversal, the corresponding angles are equal. 60. Corollary 1. If a line is perpendicular to one of two parallels, it is perpendicular to the other...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 490 pages
...230. In the same diagram, if AB II CD, and ' AD IIBC, then Z B = Z D. PROPOSITION XIX. THEOREM 106. If two parallel lines are cut by a transversal, the corresponding angles are equal. [Converse of Prop. XIV.] If Given parallel lines AB and CD and the cor. A 1 and 2. To prove Z1 = Z...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...the same diagram, if AB II CD, and AD II BC, then ZB = Z #. PROPOSITION XIX. THEOREM 106. -Zf £wo parallel lines are cut by a transversal, the corresponding angles are equal. [Converse of Prop. XIV.] IF Given parallel lines AB and CD and the cor. Z5 1 and 2. To prove Z 1 =...
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Solid Geometry

John Charles Stone, James Franklin Millis - Geometry, Solid - 1916 - 196 pages
...angles are equal. IV. The supplements of equal angles are equal. V. Vertical angles are equal. § 26. If two parallel lines are cut by a transversal, the corresponding angles are equal. § 34. If a line is perpendicular to one of two parallel lines, it is perpendicular to the other also....
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