| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...sides are equal. (c) If two sides of a triangle are unequal, the opposite angles are unequal, etc. (d) Two triangles are congruent if two sides and the included angle of the one, etc. 338 Ex. 1480. In the diagram for Prop. XXIII, ^AVD + ZDVB<ZAVC + Z CVB. Ex. 1481. If... | |
| George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 491 pages
...congruent. 67. COKOLLARY. Corresponding parts of congruent figuv are equal. PROPOSITION II. THEOREM 68. Two triangles are congruent if two sides and the included angle of the one are equal respectively to two sides and the included angle of the other. AB x Y Given the triangles... | |
| Edward Rutledge Robbins - Geometry, Plane - 1915 - 282 pages
...opposite sides, so that they shall bisect each other. PROPOSITION XLIII. THEOREM 133. 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. 8> rC M, ,N ADLO Given : [U AC and LN... | |
| Webster Wells, Walter Wilson Hart - Geometry, Plane - 1915 - 330 pages
...with LA + LB (§ 106) . 2. Is L CED = L CDS ? 3. Is L CED = LAI Ex. 50. Prove that 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. Suggestion. — Prove by superposition.... | |
| Mathematics - 1915 - 830 pages
...to be cited often. A few suggestions are given, others will occur to teachers and students. Theorem Two triangles are congruent if two sides and the included angle of the one are equal respectively to two sides and the included angle of the other. (In referring to this... | |
| John Wesley Young, Albert John Schwartz - Geometry, Modern - 1915 - 250 pages
...respectively, to two angles and the corresponding side of the other. §184 PLANE GEOMETRY 191. THEOREM. Two triangles are congruent if two sides and the included angle of the one are equal, respectively, to two sides and the included angle of the other. FIG. 76. Given To... | |
| Ernst Rudolph Breslich - Mathematics - 1916 - 392 pages
...triangles having equal bases 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... | |
| Webster Wells, Walter Wilson Hart - Geometry - 1916 - 490 pages
...with LA + LB (§ 106). 2. Is L CED = L CUE ? 3. Is LCED = LAI Ex. 50. Prove that 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. Suggestion. — Prove by superposition.... | |
| John Charles Stone, James Franklin Millis - Geometry - 1916 - 306 pages
...Suggestions. Prove 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... | |
| Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 328 pages
...the piece of land into two equal parts. Compare the sides a and b. 3. Prove that two parallelograms are congruent if two sides and the included angle of one are respectively equal to two sides and the included angle of the other. PROPOSITION XXV. THEOREM 153.... | |
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