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" The median to the base of an isosceles triangle is perpendicular to the base. "
Plane Geometry - Page 29
by Arthur Schultze, Frank Louis Sevenoak - 1911 - 233 pages
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A Text-book of Geometry

George Albert Wentworth - Geometry - 1888 - 264 pages
...179 .-. 0 is the centre of symmetry of the figure. 64 EXERCISES. 34. The median from the vertex to the base of an isosceles triangle is perpendicular to the base, and bisects the vertical angle. 35. State and prove the converse. 36. The bisector of an exterior angle...
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New Plane Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry, Modern - 1899 - 265 pages
...and substitute the definition for the name of the thing defined. Eg suppose it is to be proved that the median to the base of an isosceles triangle is perpendicular to the base. Instead of saying : " Given CM the median to the base of the isosceles triangle ABC " (see figure on...
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New Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 416 pages
...and substitute the definition for the name of the thing defined. Eg suppose it is to be proved that the median to the base of an isosceles triangle is perpendicular to the base. Instead of saying : " Given CMfthe median to the base of the isosceles triangle ABC " (see figure on...
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Plane Geometry

George Albert Wentworth - Geometry, Plane - 1899 - 278 pages
...OC, and BO = OE, 128 (being homologous sides of equal A). QED Ex. 13. The median from the vertex to the base of an isosceles triangle is perpendicular to the base, and bisects the vertical angle. Ex. 14. If two straight lines are cut by a transversal so that the...
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The Elements of Plane Geometry

Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...angle of 45. Ex. 27. To divide an angle into four equal parts. Ex. 28. The median from the vertex to the base of an isosceles triangle is perpendicular to the base, and bisects the vertical angle. Ex. 29. .4BCand DBC are isosceles triangles on the same base ; prove...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 496 pages
...OC, and BO = OE, 128 (being homologous sides of equal &). QED Ex. 13. The median from the vertex to the base of an isosceles triangle is perpendicular to the base, and bisects the vertical angle. Ex. 14. If two straight lines are cut by a transversal so that the...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...Z4, (base A of an isos. A). (Hyp.) (Ax. 2.) AA'B'C' = AAB'C', (sas = sas). .'. A ABC = AA'B'C'. QED Ex. 117. If the opposite sides of a quadrilateral...parallel. Ex. 122. If in the sides of an equilateral &ABC, the points D, E, and F be taken so that AD = BE = CF, then f^DFE is equilateral. Ex. 123. If...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...(6ase ^ o/ an iaos. A). Z1 + Z3 = Z2 + Z4, (Ax. 2.) = ZBA'0. (sas = sas). AABC=AA'B'C'. Q . E . D . Ex. 117. If the opposite sides of a quadrilateral...parallel. Ex. 122. If in the sides of an equilateral &ABC, the points D, E, and F be taken so that AD = BE = CF, then &DFE is equilateral. E Ex. 123. If...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...(base A of an isos. A). Z3 = Z2 + Z4, (Ax. 2.) AA'B'C' = AAB'C', (sas = sas). .: A ABC = AA'B'C'. QED Ex. 117. If the opposite sides of a quadrilateral...sides are equal. Ex. 120. The medians to the arms of au isosceles triangle are equal. Ex. 121. If the opposite sides of a quadrilateral are equal, the sides...
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Plane and Solid Geometry

Fletcher Durell - Geometry - 1911 - 553 pages
...from the extremities of the segments to the opposite vertices make equal angles with the base. Ex. 5. The median to the base of an isosceles triangle is perpendicular to the base. Ex. 6. The altitudes upon the legs of an isosceles triangle make equal angles with the base. Ex. 7, The...
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