 | George D. Pettee - Geometry, Modern - 1896 - 272 pages
...two sides and the included angle of the other. 42 PLANE GEOMETRY PROPOSITION XXVIII 109. Theorem. // two sides of a quadrilateral are equal and parallel, the figure is a parallelogram. Appl. Cons. Dem. BC = and II AD. Prove ABCD = E3 Draw BD 1 = 2 [alt. int. A (IIs)] A = [2s. and inc.... | |
 | George Washington Hull - Geometry - 1897 - 408 pages
...to BC. Therefore ABCD is a parallelogram by definition. § 74 PROPOSITION XXXI. THEOREM. QED 83. // two sides of a quadrilateral are equal and parallel, the figure is a parallelogram. n, Given—The quadrilateral ABCD, with AB equal and parallel to DC. To Prove—ABCD a parallelogram.... | |
 | Henry W. Keigwin - Geometry - 1897 - 254 pages
...quadrilateral are equal, the figure is a parallelogram. PROPOSITION XXIV. THEOREM. 109. If two .tides of a quadrilateral are equal and parallel, the figure is a parallelogram. PROPOSITION XXV. THEOREM. 110. The diagonals of a parallelogram bisect each other. Ex. If the diagonals... | |
 | Henry W. Keigwin - Geometry - 1898 - 250 pages
...opposite sides of a quadrilateral are equal, the figure is a parallelogram. PROPOSITION XXIV. THEOREM. 109. If two sides of a quadrilateral are equal and parallel, the figure is a parallelogram. PROPOSITION XXV. THEOREM. 110. The diagonals of a parallelogram bisect each other. Ex. If the diagonals... | |
 | Webster Wells - Geometry - 1898 - 284 pages
...parallelogram is 119°, how many degrees are there in each of the others ? PROP. XXXIX. THEOREM. 110. If two sides of a quadrilateral are equal and parallel, the figure is a parallelogram. Given, in quadrilateral ABCD, BC equal and II to AD. To Prove ABCD a O. (Prove AABC=&ACD, by §63;... | |
 | William James Milne - Geometry, Modern - 1899 - 258 pages
...transversals. How do the segments of the transversals between the parallel lines compare in length? Theorem. If two sides of a quadrilateral are equal and parallel, the figure is a parallelogram. Data: Any quadrilateral, as A BCD, in which two of the sides, as AB and DC, are equal and parallel.... | |
 | James Howard Gore - Geometry - 1899 - 266 pages
...conversely, that if the opposite sides of a quadrilateral are equal, the figure is a parallelogram. 2. If two sides of a quadrilateral are equal and parallel, the figure is a parallelogram. 3. If one angle of a parallelogram is a right angle, the figure is a rectangle. 4. If two parallels... | |
 | Harvard University - Geometry - 1899 - 39 pages
...opposite sides of a quadrilateral are equal, the figure is a parallelogram. THEOREM XXV. If two opposite sides of a quadrilateral are equal and parallel, the figure is a parallelogram. BOOK II. THE CIRCLE AND THE MEASURE OF ANGLES. THEOREM I. The diameter of a circle is greater than... | |
 | Education - 1900 - 612 pages
...accepted. First i Define line, polygon, circle, corollary, theorem. division 2 prove that if two opposite sides of a quadrilateral are equal and parallel the figure is a parallelogram. 3 Prove that an inscribed angle is measured by one half the arc included between its sides. 4 Prove... | |
 | Alan Sanders - Geometry, Modern - 1901 - 260 pages
...an angle iu another, the remaining angles are equal each to each. PROPOSITION XXXIV. THEOREM 205. // two sides of a quadrilateral are equal and parallel,...parallelogram. Let ABCD be a quadrilateral having BC and AD equal and parallel. To Prove ABCD a parallelogram. Proof. Draw the diagonal BD. Whence AB =... | |
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If two sides of a quadrilateral are equal and parallel, the figure is a parallelogram. 
