 | George Wentworth, David Eugene Smith, Joseph Clifton Brown - Mathematics - 1918 - 300 pages
...conclusion do you draw as to B's paying C the sum specified? 66. Another Inference. Suppose that these two triangles have two angles and the included side...respectively to two angles and the included side of the other ; that is, suppose that cc, and c = c'. A 5 "# A' From the general appearance of the triangles, what... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...triangles equal? Place the triangle ABC on Fig. 4 so that AC coincides with MP. Triangles ABC and MNP have two angles and the included side of one equal...to two angles and the included side of the other. Are these two triangles equal? . The following expresses the result of this experiment: 19. // two... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...etc.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. 8 B Given A ABC and A'B'C' with AB = A'B', ZA = ZA', and ZB = Z B'. To prove A ABC ^ A A'B'C'. Proof... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1918 - 360 pages
...SECOND TEST 107. THEOREM III. 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. AB A' B' Given A ABC and A' B'C in which ZA = Z.4', ZB = Z tf, To prove that A ABC = A A'B'C'. Proof:... | |
 | Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...other. § 248. Theorem. 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. § 249. Theorem. Two parallelograms are congruent if they have two adjacent sides and the included... | |
 | Herbert Ellsworth Slaught - 1918 - 344 pages
...SECOND TEST 107. THEOREM III. 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. AB A1 B Given A ABC and A'BC' in which ZA = ZA', ZB= Z.ff, To prove that A ABC = A A'B'C'. Proof: Place... | |
 | High schools - 1918 - 378 pages
...respectively to two sides and the included angle of the other 2. If two angles and the included side are equal respectively to two angles and the included side of the other. 3. If the three sides of one are equal respectively to the three Bides of the other IV. Two right triangles... | |
 | William Ledley Vosburgh - 1919 - 332 pages
...equal segments are laid off on the sides extended, give the proof. FIG. 64. § 110. THEOREM II. // two triangles have two angles and the included side...two angles and the included side of the other, the two triangles are congruent. On a piece of tracing paper draw a straight line ; on this line mark off... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Solid - 1919 - 240 pages
...vertical angles are equal. 26. 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. 27. Two triangles are equal if three sides of one are equal respectively to three sides of the other.... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Solid - 1919 - 240 pages
...sphere, or on equal spheres, are equal or symmetrical if two angles and the included side of one are equal respectively to two angles and the included side of the other. Proof. By §§ 340 and 329 the polar triangles of the given triangles are equal or symmetrical. Hence,... | |
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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. 
