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 72by John Charles Stone, James Franklin Millis - 1916 - 278 pagesFull view - About this book
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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 =... | |
| 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... | |
| 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... | |
| 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... | |
| 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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