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" Two triangles are equal if the three sides of the one are equal respectively to the three sides of the other. In the triangles ABC and A'B'C', let AB = A'B', AC = A'C', BC=B'C'. To prove A ABC= A A'B'C'. Proof. Place A A'B'C' in the position AB'C, having... "
Plane Geometry - Page 38
by George Albert Wentworth - 1899 - 256 pages
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Plane and Solid Geometry: Teacher's Edition

George Albert Wentworth, George Wentworth - Geometry - 1912 - 602 pages
...included side of the one are equal respectively to two angles and the included side of the other. (iii) If the three sides of the one are equal respectively to the three sides of the other. 8. State the conditions under which two parallelograms are congruent. Two parallelograms are congruent...
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Plane and Solid Geometry

Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 376 pages
...Theorem XII. Two triangles on the same sphere, or on equal spheres, are either congruent or symmetric, if the three sides of the one are equal, respectively, to the three sides of the other. [The proof is left to the student.] 375. Theorem XIII. Two triangles on the same sphere, or on equal...
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Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...at. Z.) AC'=A'C', .-. A ABC is congruent to A A'B'C'. Post. 5 i 34 §85 §80 (Two &, are congruent if the three sides of the one are equal respectively to the three sides of the other.) QED BOOK I. PLANE GEOMETRY EXERCISE 9, 1. ABCD is a square and M is- the mid-point of AB. With M as...
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Solid Geometry

Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 176 pages
...Theorem XII. Two triangles on the same sphere, or on equal spheres, are either congruent or symmetric, if the three sides of the one are equal, respectively, to the three sides of the other. [The proof is left to the student. ] 375. Theorem XIII. Two triangles on the same sphere, or on equal...
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Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 491 pages
...Given AB = DC, Given and AC = AC. Iden. .'.A ABC is congruent to A CD A. § 80 ( Two A are congruent if the three sides of the one are equal respectively to the three sides of the other.) and Z.ACB = Z.CAD. §67 .'. AB is 11 to DC, and BC is I! to AD. § 101 (When two lines in the same...
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Examination Questions in Mathematics: Third Series, 1911-1915

College Entrance Examination Board - Mathematics - 1915 - 72 pages
...textbook of Geometry was used in preparation. GROUP A. (Answer four questions from this group.) 1. Two triangles are equal if the three sides of the...equal respectively to the three sides of the other. 2. Construct a parallelogram, given a side 1| inches, the length of a diagona 2 inches, and the altitude...
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The Texas Mathematics Teachers' Bulletin, Volumes 1-7

Mathematics - 1915 - 832 pages
...triangle is isosceles. (Reference to this theorem: Having 2<s=.) Theorem Two triangles are congruent if the three sides of the one are equal respectively to the three sides of the other. (Reference to this theorem: 3 sides=3 sides.) Theorem If two parallel lines are cut by a transversal,...
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Plane Geometry

John Wesley Young, Albert John Schwartz - Geometry, Modern - 1915 - 248 pages
...obstructed, each being visible from a third point 0 (§ 191). 192. THEOREM. Two triangles are congruent if the three sides of the one are equal, respectively, to the three sides of the other. FIG. 77. Given the A ABC and A'B'C' with sides AB, BG, CA equal, respectively, to sides A'B', B'C',...
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First Book in General Mathematics

Mathematics - 1917 - 284 pages
...SF (Identity) L ISF= Z FSC (Construction) /. A SIF = A SFC (76) /. ZI = ZC (72c) QED 78a. Theorem: Two triangles are equal if the three sides of the one are equal to the three sides of the other. Given: In the A ABC and DEF, let DE = AB, DF = AC, and EF = BC. To...
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Plane Geometry

Walter Burton Ford, Charles Ammermann - Geometry, Modern - 1923 - 406 pages
...Theorem XII. Two triangles on the same sphere, or on equal spheres, are either congruent or symmetric, if the three sides of the one are equal, respectively, to the three sides of the other. [The proof is left to the student.] 375. Theorem XIII. Two triangles on the same sphere, or on equal...
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