Two triangles are congruent if two angles and the included side of one are equal respectively to two angles and the included side of the other. Graded Arithmetic - Page 52by George F. Cole - 1909Full view - About this book
| David Eugene Smith - Geometry - 1911 - 370 pages
...protractor. THEOREM. Two triangles are congruent if two angles and the included side of the one are equal respectively to two angles and the included side of the other. Euclid combines this with his Proposition 26 : If two triangles have the two angles equal to two angles... | |
| William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...of the other. 94. Two triangles are congruent if they have two angles and the included side of the one equal, respectively, to two angles and the included side of the other. 95. Two right triangles are congruent if a leg and an adjacent acute angle of the one are equal, respectively,... | |
| Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...PROPOSITION II. THEOREM 105. Two triangles are equal if two angles and the included side of one are equal respectively to two angles and the included side of the other. Given A ABC and DEF, AC = DF, Z To prove A ABC=:A DEF. ARGUMENT L Place A ABC upon A DEF so that AC... | |
| George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...triangle the angles opposite the equal Another Case of Congruence. Suppose that these two triangles have two angles and the included side of one equal respectively...to two angles and the included side of the other; that is, suppose that c and c = c'. A. o B A' c' 3' Ask the student to consider the general appearance... | |
| George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 491 pages
...triangle the angles opposite the eqical Another Case of Congruence. Suppose that these two triangles have two angles and the included side of one equal respectively...to two angles and the included side of the other; that is, suppose that c c' and c = c'. A c B Ask the student to consider the general appearance of... | |
| George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...should now be given as in the teit. Another Case of Congruence. Suppose that these two triangles have two angles and the included side of one equal respectively to two angles and the included side of the other ; that is, suppose that and c = c'. A. c £ A' Ask the student to consider the general appearance of... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 490 pages
...PROPOSITION II. THEOREM ' 66. Two triangles are congruent if two angles and the included side of one are equal respectively to two angles and the included side of the other. Given A ABC and A'B'C' with AB — A'B', ZA = ZA', and Z B = Z B'. To prove A ABC ^ A A'B'C ' . Proof... | |
| Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 376 pages
...equal spheres, are either congruent or symmetric, if two angles and the included side of the one are equal, respectively, to two angles and the included side of the other. [Proceed as in § 372.] 306 VIII, §375] TRIANGLES AND POLYGONS 374. Theorem XII. Two triangles on... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...PROPOSITION II. THEOREM 66. Two triangles are congruent if two angles and the included side of one are equal respectively to two angles and the included side of the other. a Given A ABC and A'B'C' with Z B = Z B'. To prove A .4.8(7 ^ A ^'i ! = A'B', ZA — ZA', and Proof... | |
| Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 184 pages
...equal spheres, are either congruent or symmetric, if two angles and the included side of the one are equal, respectively, to two angles and the included side of the other. [Proceed as in § 372.] 374. Theorem XII. Two triangles on the same sphere, or on equal spheres, are... | |
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