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" 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 52
by George F. Cole - 1909
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Solid Geometry, with Problems and Applications

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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Modern Junior Mathematics, Volume 3

Marie Gugle - Mathematics - 1920 - 268 pages
...ANGLES AND INCLUDED SIDE. 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. С F Given the triangles ABC and DEF, with AB equal to DE, angle A equal to angle D, and angle В equal...
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Junior High School Mathematics, Book 3

John Charles Stone - Mathematics - 1921 - 264 pages
...BC) determined the distance AP of a ship from shore by means of the congruence of triangles having two angles and the included side of one equal respectively...to two angles and the included side of the other. They measured Z 1 and Z 2. Explain how they were then able to mark off a distance on the shore equal...
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The Anderson Arithmetic, Book 3

Robert Franklin Anderson - Arithmetic - 1921 - 348 pages
...or not they are equal. If two triangles have /b c\ /b two angles and the included il a side of the one equal, respectively, to two angles and the included side of the other, how do the triangles compare in shape and size? 27. What is the area of a right triangle whose base...
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Drill Book in Plane Geometry

Robert Remington Goff - 1922 - 136 pages
...other, the triangles are congruent. *S3. If two triangles have two angles and the included side of the one equal respectively to two angles and the included side of the other, the triangles are congruent. n 54. What are the corresponding parts in Article 53? & What can be said...
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General Mathematics, Book 2

Raleigh Schorling, William David Reeve - Mathematics - 1922 - 476 pages
...are equal. 7. Obvious. 8. 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. 9. Homologous parts of congruent triangles are equal. 1 0. Two righ t triangles are congruent if the...
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Junior High School Mathematics: 1st-3d Book, Book 3, Part 2

Edson Homer Taylor, Fiske Allen - Mathematics - 1923 - 104 pages
...of A ABC fall upon the corresponding parts of ARST. 26. Proof of Theorem II. 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. Given A ABC and ARST, having ZB= /.S, /.C = ZT, and BC = ST. To prove...
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Plane Geometry

Walter Burton Ford, Charles Ammermann - Geometry, Modern - 1923 - 406 pages
...your school building. 37. Theorem II. // two triangles have two angles and the included side of the one equal, respectively, to two angles and the included side of the other, the triangles are congruent. c c' A 'B A'' 'B. FIG. 45 In the figure, let ABC and A'B'C' be the two...
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Measurement in Higher Education

Ben DeKalbe Wood - Education, Higher - 1923 - 364 pages
...right angles. .. 6. 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. .. 7. Two lines in the same plane perpendicular to the same line cannot meet however far they are produced....
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 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', ^A = ZA', and ZB = Z B'. A ABC ^ A A'B'C'. To prove Proof STATEMENTS...
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