 Two triangles are congruent if (a) two sides and the included angle of one are equal, respectively, to two sides and the included angle of the other...  The Elements of Geometry - Page 24by Webster Wells - 1894 - 378 pagesFull view - About this book
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...rectangle is formed. PROPOSITION XXXVII. THEOREM 150. Two parallelograms are congruent if two adjacent sides and the included angle of one are equal, respectively, to two adjacent sides and the included angle of the other. r~r rr Given fU ABCD and A'B'C'D', with AB = A'B',... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...rectangle is formed. PROPOSITION XXXVII. THEOREM 150. Two parallelograms are congruent if two adjacent sides and the included angle of one are equal, respectively, to two adjacent sides and the included angle of the other. Given [3 ABCD and A'B'C'D', with AB = A'B', AD... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...AA'B'C'? Are the triangles congruent? Complete the following statement : Two triangles are congruent if two sides and the included angle of one are equal respectively to • • • . The statement and proof should now be given as in the text. Inferences as to Isosceles... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1915 - 280 pages
...supplementary (44). .•.ZAOM = Z BOL. (49.) QED PROPOSITION II. THEOREM 52. Two triangles are congruent if two sides and the included angle of one are equal respectively to two sides and the included angle of the other. ABRS Given: & ABC and RST; AB = RS; AC = BT ; ZA = ZB. To Prove : A ABC is congruent... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 320 pages
...which are congruent have the same size and the same shape. 247. Theorem. Two triangles are congruent if two sides and the included angle of one are equal respectively to two sides and the included angle of the other. BE Given A ABC and DEF, having AB = DE, AC=DF, and To prove AABC S ADEF. Proof. Place... | |
 | John H. Williams, Kenneth P. Williams - Geometry, Solid - 1916 - 184 pages
...equiangular triangle each angle is two-thirds of a right angle, or 60°. 117. Two triangles are equal if two sides and the included angle of one are equal respectively to two sides and the included angle of the other. 118. Two right triangles are equal if the perpendicular sides of one are equal respectively... | |
 | Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 328 pages
...the unequal angles of a triangle. (e) If two triangles are to be proved congruent, try to prove that two sides and the included angle of one are equal respectively to two sides and the included angle of the other, or that a side and two angles of one are equal respectively to a side and any two angles... | |
 | John Charles Stone, James Franklin Millis - Geometry - 1916 - 306 pages
...A ADB =s A ABC. Write out ftie complete proof. 95. Theorem. — Two parallelograms are congruent if two sides and the included angle of one are equal respectively to two sides and the included angle of the other. D B Hypothesis. ABCD and EFGH are parallelograms having AB = EF, AD= EH, and ZA = Z E.... | |
 | Ernst Rudolph Breslich - Mathematics - 1916 - 392 pages
...are in the same ratio as the altitudes. (266) Congruent Triangles 66. Two triangles are congruent if two sides and the included angle of one are equal respectively to two sides and the included angle of the other, (sas) (274) 67. Two triangles are congruent if two angles and the side included between... | |
 | Education - 1917 - 786 pages
...triangle 6. If they are the opposite angles of a parallelogram III. Two triangles are equal: 1. If two sides and the included angle of one are equal 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... | |
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