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" There are three important theorems in geometry stating the conditions under which two triangles are congruent: 1. Two triangles are congruent if two sides and the included angle of one are equal respectively to two sides and the included angle of the... "
Plane Geometry - Page 72
by John Charles Stone, James Franklin Millis - 1916 - 278 pages
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Solid Geometry

Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...Theorem. The three altitudes of a triangle pass through a common point. 247. Theorem. Two triangles are congruent if two sides and the included angle...equal respectively to two sides and the included angle of the other. 248. Theorem. Two triangles are congruent if two angles and the included side of one...
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Plane Geometry, with Problems and Application

Herbert Ellsworth Slaught - Mathematics - 1918 - 344 pages
...about the properties of space is built up, such, for instance, as the fact that two triangles are equal if two sides and the included angle of one are equal respectively to two sides and the included angle of the other ; and upon these facts are based nearly all indirect measurements. Without geometry it...
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Plane Geometry: With Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1918 - 360 pages
...about the properties of space is built up, such, for instance, as the fact that two triangles are equal if two sides and the included angle of one are equal respectively to two sides and the included angle of the other ; and upon these facts are based nearly all indirect measurements. Without geometry it...
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Proceedings of the High School Conference of November 1910-November 1931

High schools - 1918 - 378 pages
...in a triangle 6. If they are the opposite angles of a parallelogram III. Two triangles are equal: 1. If two sides and the included angle of one are equal respectively to two sides and the included angle of the other 2. If two angles and the included side are equal respectively to two angles and the included...
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Junior High School Mathematics, Book 3

George Wentworth, David Eugene Smith, Joseph Clifton Brown - Mathematics - 1918 - 296 pages
...coinciding with AA'B'C'1? Are the triangles congruent? Complete the following statement : Two triangles are congruent if two sides and the included angle of one are equal respectively to • • • . THEOREM. Two SIDES AND INCLUDED ANGLE 58. Tivo triangles are congruent if two sides and...
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Plane Geometry

Mabel Sykes, Clarence Elmer Comstock - Geometry, Modern - 1918 - 344 pages
...parallelogram is the center of symmetry of the parallelogram. CONGRUENCE OF PARALLELOGRAMS 98. THEOREM 35. Two parallelograms are congruent if two sides and the included angle of one are equal to two sides and the included angle of the other. FIG. 152 Hypothesis: In S] ABCD and A'B'C'D', w =...
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Solid Geometry, with Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Solid - 1919 - 240 pages
...SYMMETRICAL 329. THEOREM XII. Two triangles on the same sphere, or on equal spheres, are equal or symmetrical if two sides and the included angle of one are equal respectively to two sides and the included angle of the other. Proof : This is a direct corollary of the theorems 142, 150. 330. Vertical Spherical...
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Solid Geometry, with Problems and Applications

Herbert Ellsworth Slaught - Geometry, Solid - 1919 - 244 pages
...SYMMETRICAL 329. THEOREM XII. Two triangles on the same sphere, or on equal spheres, are equal or symmetrical if two sides and the included angle of one are equal respectively to two sides and the included angle of the other. Proof : This is a direct corollary of the theorems 142, 150. 330. Vertical Spherical...
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Modern Junior Mathematics, Book 3

Marie Gugle - Mathematics - 1920 - 268 pages
...Theorem PROPOSITION I CONGRUENCE OF TRIANGLES Theorem: Two SIDES AND THE INCLUDED ANGLE. Two triangles are congruent if two sides and the included angle...equal respectively to two sides and the included angle of the other. CZ Given the triangles ABC and XYZ, with AB equal to XY, AC equal to XZ, and angle A...
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Plane Geometry

Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Modern - 1920 - 328 pages
...adjacent angles of a parallelogram intersect each other at right angles. 79. Two parallelograms are equal if two sides and the included angle of one are equal respectively to two sides and the included angle of the other. 80. The image of an object A seen in a ., plane mirror by the eye at K appears to be...
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