 | William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 286 pages
...diagonals of a rectangle are equal. PROPOSITION XLIII. THEOREM. 176. Two parallelograms are congruent if two sides and the included angle of one are equal, respectively, to t,vo sides and the included angle of the other. Given the Os ABCD and EFGH, with sides AB = EF, AD... | |
 | John Gale Hun, Charles Ranald MacInnes - Trigonometry - 1911 - 234 pages
...sides of the other. 2) Three angles of one are equal respectively to three angles of the other. 3) Two sides and the included angle of one are equal respectively to two sides and the included angle of the other. 4) A side and the adjacent angles of one are equal respectively to a side and the adjacent... | |
 | John Gale HUN (and MAC INNES (Charles Ranald)), Charles Ranald MacInnes - Trigonometry - 1911 - 234 pages
...sides of the other. 2) Three angles of one are equal respectively to three angles of the other. 3) Two sides and the included angle of one are equal respectively to two sides and the included angle of the other. 4) A side and the adjacent angles of one are equal respectively to a side and the adjacent... | |
 | Geometry, Plane - 1911 - 192 pages
...equal respectively to two sides and an angle of the other. (6) Prove that two triangles are equal if two sides and the included angle of one are equal respectively to two sides and an included angle of the other. 2. Prove that the bisector of an angle is the loous of points equidistant... | |
 | Fletcher Durell - 1911 - 234 pages
...and parallel and the figure is a parallelogram. 1 62. Two parallelograms are equal if two adjacent sides and the included angle of one are equal, respectively, to two adjacent sides and the included angle of the other. 163. Two rectangles which have equal bases and... | |
 | Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 222 pages
...equal respectively to a side and the two adjacent angles of the other. 107. 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. 110. Homologous parts of equal figures are equal. 111. The base angles of an isosceles... | |
 | Arkansas Education Association - Education - 1912 - 270 pages
...without reading the proof in the text, to apply this method in proving 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," or that "Two triangles are equal if two angles and the included side of one are equal... | |
 | William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...quadrilateral are equal and parallel, the figure is a parallelogram. 176. Two parallelograms are congruent if two sides and the included angle of one are equal, respectively, to two sides and the included angle of the other. 213. Radii of the same circle or of equal circles are equal. 233. In the same circle,... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 491 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 . . .. Inferences as to Isosceles Triangles. Suppose that the class is about to study the isosceles... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...rectangle is formed. PROPOSITION XXXVII. THEOREM 150. Two parallelograms are congruent if two adjacent sides and the included angle of one are equal, respectively, to two adjacent sides and the included angle of the other. r~r rr Given fU ABCD and A'B'C'D', with AB = A'B',... | |
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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... 
