 | George Albert Wentworth - Geometry - 1899 - 496 pages
...PROPOSITION XX. THEOREM. 139. Two triangles are equal if two angles and the included side of the one are equal, respectively, to two angles and the included side of the other, c F DE In the triangles ABC, DEF, let the angle A be equal to the angle D, B to E, and the side AB... | |
 | George Albert Wentworth - Geometry, Plane - 1899 - 278 pages
...PROPOSITION XX. THEOREM. 139. Two triangles are equal if two angles and the included side of the one are equal, respectively, to two angles and the included side of the other. ABDE In the triangles ABC, DEF, let the angle A be equal to the angle D, B to E, and the side AB to... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...than the third side. 139. Two triangles are equal if two angles and the included side of the one are equal, respectively, to two angles and the included side of the other. 141. Two right triangles are equal if the hypotenuse and an acute angle of the one are equal, respectively,... | |
 | Alan Sanders - Geometry, Modern - 1901 - 260 pages
...laid off equal to BD. Prove AD = CE. ion. Show that A ABD = A EBC. DE PROPOSITION II. THEOREM 35. If two triangles have two angles and the included side...the included side of the other, the triangles are equal in all respects. Let the A ABC and DEF have ZA = ZD, ZC = Z. F, and AC = DF. To Prove the A ABC... | |
 | George Albert Wentworth, George Anthony Hill - Geometry - 1901 - 168 pages
...each of its altitudes. 9. Two triangles are equal: (1) If two angles and the included side of one are equal, respectively, to two angles and the included side of the other. (2) lf two sides and the included angle of one are equal, respectively, to two sides and the included... | |
 | John Alton Avery - Geometry, Modern - 1903 - 136 pages
...equal sides lie opposite equal angles and equal angles lie opposite equal sides. THEOREM VII 32. If two triangles have two angles and the included side...the included side of the other, the triangles are equal. Hyp. In the A ABC and DEF, let AC=DF, ZA = ZD, .C=ZF. To prove that A ABC = A DEF. SUG. 1. See... | |
 | Alan Sanders - Geometry - 1903 - 396 pages
...off equal to BD. Prove AD = CE. Suggestion. Show that A ABD = A EBC. PROPOSITION II. THEOREM 35. If two triangles have two angles and the included side...the included side of the other, the triangles are equal in all respects. Let the A ABC and DEF have ZA = ZD, ZC = ZF, and AC = nF. To Prove the A ABC... | |
 | Alan Sanders - Geometry - 1903 - 392 pages
...the included angle of one equal respectively to two sides and the included angle of the other; or 2. Two angles and the included side of one equal respectively...to two angles and the included side of the other; or 3. Three sides of one equal respectively to the three sides of the other; Have their remaining parts... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...PROPOSITION XX. THEOREM. 139. Two triangles are equal if two angles and the included side of the one are equal, respectively, to two angles and the included side of the other. A. BDE In the triangles ABC, DEF, let the angle A be equal to the angle D, B to E, and the side AB... | |
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If two triangles have two angles and the included side of one equal respectively to two angles and the included side of the other, the triangles are congruent. 
