 | 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,... | |
 | 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... | |
 | Alan Sanders - Geometry, Modern - 1901 - 260 pages
...having AB = BC. BE is laid off equal to BD. Prove AD = CE. ion. Show that PROPOSITION II. THEOREM 35. If two triangles have two angles and the included side...equal in all respects. Let the A ABC and DEF have /LA — ZD, ZC = ZF, and AC = DF. To Prove the A ABC and DEF equal in all respects. Proof. Place the... | |
 | Alan Sanders - Geometry, Modern - 1901 - 260 pages
...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 in all respects. Let the A ABC and DEF have AB = DE, BC = EF, and Z. B = Z, E. To Prove the A ABC and DEF equal in all respects. Proof. Place the... | |
 | 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...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 Sug.... | |
 | 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... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...PROPOSITION VII. THEOREM 97a Two triangles are equal if two angles and flic included side of one are equal, respectively, to two angles and the included side of the other. Given the A AEG and DEF in which ZA-ZD, ZC= ZJF, and AC=DF. To prove AABC = A DEF. Proof, Place the... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...PROPOSITION xJJK THEOREM 97. 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 the A ABC and DEF in which /.A= Z I>, /.C = /.F, &nAAC=DF. To prove AABC = A DEF. Proof. Place... | |
| |
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. 
