 Two triangles are equal if two sides and the included angle of the one are equal respectively to two sides and the included angle of the other (sas = sas). Hyp. In A ABC and A'B'C', AB = A'B', BC = B'C', and Z B = Z B'.  Secondary-school Mathematics - Page 55by Robert Louis Short, William Harris Elson - 1910Full view - About this book
 | Raleigh Schorling, William David Reeve - Mathematics - 1922 - 460 pages
...the circle O passes through />. 8. 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. 9. Homologous parts of congruent triangles are equal. 10. Because D is as far from O as is A and hence... | |
 | Ben DeKalbe Wood - Education, Higher - 1923 - 360 pages
...DIRECTIONS FOR SECTION X: Choose the easiest one first. 1. Prove: Two triangles are congruent if two sides and the included angle of the one are equal respectively to two sides and the included angle of the other. 2. Prove: Two right triangles are congruent if the hypothenuse and a side of the one... | |
 | Ray Harbaugh Dotterer - Logic - 1924 - 364 pages
...1.13131.—Alternate-interior angles are equal. (See 1.1222.) 1.13132.—Two triangles are equal if two sides and the included angle of the one are equal respectively to two sides and the included angle of the other. 1.131321.—The possibility of constructing the figure. (Postulate.) 1.131322.—Two... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1923 - 414 pages
...B Fio. 72 Since the proof is easily 88. Theorem XXIII. Two parallelograms are congruent if two Men and the included angle of the one are equal respectively to two aide* and the included angle of the other. Fio. 73 Given tho HIABCD and A'B'C'D' in which AB = A'B',... | |
 | Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
...parallel through the vertex opposite. Proposition XXX. Theorem 92. Two triangles are equal, if two sides and the included angle of the one are equal, respectively, to two sides and the included angle of the other. (Included angle acute.) B B' E' Hints: Prove the right triangles ABE and A'B'E' equal,... | |
 | Baltimore (Md.). Department of Education - Mathematics - 1924 - 182 pages
...corresponding parts of the other." Book I. Fundamental Theorems 1. Two triangles are congruent, if: a. Two sides and the included angle of the one are equal respectively to two sides and the included angle of the other. b. Two angles and a side of one are equal to two angles and a corresponding side of the... | |
 | Charles Henry Schumann - Geometry, Descriptive - 1927 - 264 pages
...as references whenever they are mentioned. Plane Geometry. 1. Theorems on equality of triangles. (a) Two triangles are equal when two sides and the included angle of one are equal respectively to two sides and the included angle of the other. (b) Two triangles are... | |
 | Central Association of Science and Mathematics Teachers (U.S.) - Education - 1916 - 228 pages
...thought. The student is, as a rule, not much surprised to find that two plane triangles are congruent when two sides and the included angle of the one are equal, respectively, to the corresponding parts of the other. On the other hand we really open up broad and surprising vistas... | |
 | Clarence Stratton - English language - 1923 - 404 pages
...The years produce changes in all school subjects. Geometricians used to be content with saying that two triangles are equal when two sides and the included angle of one are equal to two sides and the included angle of the other. Now they say that two triangles are... | |
| |
