 If two triangles have two sides and the included angle of one equal to two sides and the included angle of the other, each to each, the other homologous parts are also equal, and the triangles are equal.  Elements of Geometry - Page 28by George Cunningham Edwards - 1895 - 293 pagesFull view - About this book
 | William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...without changing either its size or its shape. PROPOSITION II. THEOREM SECOND TRIANGLE CONGRUENCE 134. If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are congruent, (sas) Given... | |
 | George C. Shutts - 1913 - 212 pages
...A'B'C'. PROPOSITION XXIII. 740. THEOREM. Two triangles on the same sphere, or on equal spheres, having two sides and the included angle of one equal to two sides and the included angle of the other, are either congruent or else symmetrical, and therefore equal. c' c Given spherical triangles... | |
 | International Correspondence Schools - Coal mines and mining - 1913 - 360 pages
...their sides parallel, they are equal. 5. If two triangles have two sides and the included angle of the one equal to two sides and the included angle of the other, they are equal in all their parts. 6. If two triangles have two angles and the included side of the one equal... | |
 | Webster Wells, Walter Wilson Hart - Geometry, Plane - 1915 - 330 pages
...they be proved to be true ? Answer the same question for the conclusion. PROPOSITION I. THEOREM 63. If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are congruent. ABDE Hypothesis.... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 336 pages
...these two triangles equal? The following statement expresses the result of this experiment: 23. // two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are equal. Proof of tliis... | |
 | Thomas J. Foster - Coal mines and mining - 1916 - 1230 pages
...their sides parallel, they are equal. 5. If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, they are equal in all their parts. 6. If two triangles have two angles, and the included side of the one equal... | |
 | William Betz - Geometry - 1916 - 536 pages
...the two adjoining angles of the other, the triangles are congruent, (asa) Second Law of Congruence. If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are congruent, (sas) Third... | |
 | Webster Wells, Walter Wilson Hart - Geometry - 1916 - 490 pages
...conclude must be true about all triangles made according to the directions ? PROPOSITION I. THEOREM 63. If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are congruent. ABDE Hypothesis.... | |
 | William Betz, Harrison Emmett Webb - Geometry, Solid - 1916 - 214 pages
...respectively to a side and the two adjoining angles of the other, the triangles are congruent, (asa) 134. If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are congruent, (sas) 135.... | |
 | Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...angles are equal. Part II. Triangles — Congruence and Construction. Congruent Triangles. Theorem V. If two triangles have two sides and the included angle of one respectively equal to the sides and the included angle of the other, the triangles are congruent. Theorem... | |
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