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" If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects. "
Drill Book in Plane Geometry - Page 8
by Robert Remington Goff - 1922
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Elements of Solid Geometry

William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...the sum of the other two, and greater than their difference. 91. Two triangles are congruent if they have two sides and the included angle of the one equal,...respectively, to two sides and the included angle of the other. 92. Two right triangles are congruent if the legs of the one are equal, respectively,...
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Plane Geometry

William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...congruent, (asa) Second Law of Congruence. If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are congruent, (sas) Third Law of Congruence. If two- triangles have the three sides of one equal respectively to...
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Plane Geometry

William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...congruent, (asa) Second Law of Congruence. If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are congruent, (sas) Third Law of Congruence. If two triangles have the three sides of one equal respectively to the...
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Plane Geometry

Walter Burton Ford, Earle Raymond Hedrick - Geometry, Modern - 1913 - 272 pages
...certain theorems regarding triangles. The pupil should first reread carefully § 22. 35. Theorem I. If two triangles have two sides and the included angle...included angle of the other, the triangles are congruent. cr FIG. 30 In the figure, let ABC and A'B'C? be the two triangles, and let us suppose that we know...
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Plane and Solid Geometry

Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 376 pages
...certain theorems regarding triangles. The pupil should first reread carefully § 22. 35. Theorem I. If two triangles have two sides and the included angle...included angle of the other, the triangles are congruent. c » 'BA FIG. 30 In the figure, let ABC and A'B'C' be the two triangles, and let us suppose that we...
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Solid Geometry

Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 176 pages
...portions that can be made to coincide. CHAPTER I RECTILINEAR FIGURES PART I. TRIANGLES 35. Theorem I. If two triangles have two sides and the included angle...included angle of the other, the triangles are congruent. 36. Corollary 1. Two right triangles are congruent if the two sides of the one are equal, respectively,...
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Plane Geometry

Webster Wells, Walter Wilson Hart - Geometry, Plane - 1915 - 330 pages
...the conclusion. PROPOSITION I. THEOREM 63. If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are congruent. ABDE Hypothesis. In A ABC and A DEF: Conclusion. A ABC ^ A DEF. Proof. 1. Place A ABC on A DEF with...
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Plane Geometry

Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 296 pages
...expresses the result of this experiment: 23. // two triangles 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. EXERCISES 1. In AABC, the side AB equals the side CB, and BD bisects ZABC. Prove that AADB =...
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Report of the Examinations Conducted by the Council of Higher Education ...

Newfoundland Council of Higher Education - 1915 - 232 pages
...— Theoretical. Figures must be drawn neatly. Recognized abbreviations may be used. 4. Prove that, if two triangles have two sides and the included angle of the one respectively equal to two sides and the included angle angle of the other, then the two triangles are...
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Plane Geometry

Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...are corresponding angles of congruent triangles. To prove two triangles congruent, prove that they have two sides and the included angle of the one equal respectively to two sides and the included angle of the other. or they have two angles and the included side of the one equal to two angles and the...
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