 | Ernst Rudolph Breslich - Logarithms - 1917 - 408 pages
...triangle is parallel to the third side. [168] Congruent Triangles 412. 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 other, (sas) (274) 413. Two triangles are congruent if two angles and the side included between... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1918 - 360 pages
...have, therefore, the following general test for the equality of triangles : 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. Notice that in the above argument we do not actually move A ABC. It is sufficient to... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...Theorem. On the same sphere or on equal spheres, two spherical triangles are congruent or symmetric if two sides and the included angle of one are equal respectively to two sides and the included angle of the other. Construct corresponding central triedral angles and apply the previous theorem. 846.... | |
 | High schools - 1918 - 378 pages
...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... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...a St. line. , prove A ABD =s A CBD. ^T PROPOSITION III. THKOREM 69. 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 other (sas = sas). Given A ABC and A'B'C' with AB = A'B', BC = B'C', and B = ZB'. To prove A... | |
 | Herbert Ellsworth Slaught - 1918 - 344 pages
...have, therefore, the following general test for the equality of triangles : 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. Notice that in the above argument we do not actually move A ABC. It is sufficient to... | |
 | Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...Theorem. On the same sphere or on equal spheres, two spherical triangles are congruent or symmetric if two sides and the included angle of one are equal respectively to two sides and the included angle of the other. 846. Theorem. On the same sphere or on equal spheres, two spherical triangles are congruent... | |
 | George Wentworth, David Eugene Smith, Joseph Clifton Brown - Mathematics - 1918 - 296 pages
...common to both triangles. Therefore A ABM and AC M are congruent. §58 (Two triangles are congruent if two sides and the included angle of one are equal respectively to two aides and the included angle of the other.) Therefore ZB = Z C. §54 64. COROLLARY. If a triangle has... | |
 | George Wentworth, David Eugene Smith, Joseph Clifton Brown - Mathematics - 1918 - 300 pages
...AA'B'C'? 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. Two triangles are congruent if two sides and... | |
 | Herbert Ellsworth Slaught - Geometry, Solid - 1919 - 244 pages
...THEOREMS 24. If two lines intersect, the vertical angles are equal. 25. 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. 26. Two triangles are equal if two angles and the included side of one are equal respectively... | |
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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... 
