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" Two triangles are congruent if (a) two sides and the included angle of one are equal, respectively, to two sides and the included angle of the other... "
Elementary and Constructional Geometry - Page 49
by Edgar Hamilton Nichols - 1896 - 138 pages
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An Examination Manual in Plane Geometry

George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...respectively to two sides and the included angle of the other. 146. Theorem. Two triangles are equal if two angles and a side of one are equal respectively to two angles and the homologous side of the other. 147. Theorem. In an isosceles triangle the angles opposite the equal...
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Plane Geometry Suggestive Method

George Clinton Shutts - 1905 - 260 pages
...supplements of each other. Ex. 63. If two triangles have two angles and a side opposite one of them equal respectively to two angles and a corresponding side of the other, the triangles are equal in all respects. PROPOSITION XXXVII. 133. Theorem. Two equal oblique lines,...
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Exercises in Geometry

Grace Lawrence Edgett - Geometry - 1909 - 104 pages
...equal respectively to a leg and the homologous acute angle of the other. 5. Two triangles are equal if two angles and a side of one are equal respectively to two angles and the homologous side of the other. 6. Two right triangles are equal if they have the hypotenuse and...
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Plane Geometry

Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...transversal T, forming the triangles C KA and AHB. These triangles can be proved congruent by proving that two angles and a side of one are equal respectively to two angles and the corresponding side of the other. Proof. What kind of a figure is PHBQt Why? Then how does line...
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Plane Geometry

Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...transversal T, forming the triangles CKA and AHB. These triangles can be proved congruent by proving that two angles and a side of one are equal respectively to two angles and the corresponding side of the other. Proof. What kind of a figure is PHBQt Why? Then how does line...
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Junior High School Mathematics, Book 3

George Wentworth, David Eugene Smith, Joseph Clifton Brown - Mathematics - 1918 - 296 pages
...show that P'L' is parallel to PL. 38. Two triangles are congruent if two angles and a corresponding side of one are equal respectively to two angles and a corresponding side of the other. Ex. 38 adds a new condition of congruence to the list given in 76. 39. If a triangle has two equal...
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Bulletin, Issues 25-53

United States. Office of Education - 1921 - 1286 pages
...included angle of one are equal, respectively, to two sides and the included angle of the other; (o) two angles and a side of one are equal, respectively, to two angles and the corresponding side of the other; (c) the three sides of one are equal, respectively, to the three...
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Bulletin

Education - 1921 - 1190 pages
...included angle of one are equal, respectively, to two sides and the included angle of the other; (l>) two angles and a side of one are equal, respectively, to two angles and tlie corresponding side of the other; (c) the three sidea of one are equal, respectively, to the three...
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The Reorganization of Mathematics in Secondary Education

National Committee on Mathematical Requirements - Mathematics - 1922 - 84 pages
...included angle of one are equal, respectively, to two sides and the included angle of the other; (6) two angles and a side of one are equal, respectively, to two angles and the corresponding side of the other; (c) the three sides of one are equal, respectively, to the three...
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The Reorganization of Mathematics in Secondary Education: A Report of the ...

National Committee on Mathematical Requirements - Mathematics - 1923 - 680 pages
...included angle of one are equal, respectively, to two sides and the included angle of the other ; ( b) two angles and a side of one are equal, respectively, to two angles and the corresponding side of the other ; (c) the three sides of one are equal, respectively, to the three...
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