 If two sides of a quadrilateral are equal and parallel, the figure is a parallelogram.  Plane Geometry - Page 83by Jacob William Albert Young, Lambert Lincoln Jackson - 1916 - 312 pagesFull view - About this book
 | Edward Albert Bowser - Geometry - 1890 - 418 pages
...that the parallelogram EBCA will be equal to the parallelogram ABCD. Proposition 33. Theorem. 138. If two opposite sides of a quadrilateral are equal and parallel, the figure is a parallelogram. Hyp. Let ABCD be a qnadrilat- DC eral, having AB = and || to DC. Y"" ,/-\ To prove ABCDisazu. \ -----... | |
 | Seth Thayer Stewart - Geometry, Modern - 1891 - 428 pages
...parallelogram. Conclusion \ABHC being any quadrilateral, it follows, etc. PROPOSITION III. 1§9. Theorem: If two sides of a quadrilateral are equal and parallel, the figure is a parallelogram. Statement : Let ABCH be any quadrilateral, having two opposite sides, as AB and HC, equal and parallel.... | |
 | Education - 1892 - 724 pages
...parallelogram. But all proofs must conform to the definition either directly or indirectly.] 48. Prop. XLI. If two opposite sides of a quadrilateral are equal and parallel the figure is an equiquadrilateral. **•••••***• 59. Prop. LII. If perpendiculars AE, BF, CG, and DH,... | |
 | George Anthony Hill - 1892 - 330 pages
...of a parallelogram are supplementary. 9. In a rhomboid one angle is I2OC; find the other angles. 10. If two opposite sides of a quadrilateral are equal and parallel, the fig : . is a parallelogram. (Draw a diagonal. Use §§ 56, 57, 73.) 11. The middle points of the four... | |
 | Yale University - 1892 - 200 pages
...the angle BAG is bisected, prove that the two bisecting lines are at right angles to each other. 4. If two opposite sides of a quadrilateral are equal and parallel, the other two sides are equal and parallel, and the figure is a parallelogram. 5. The rectangle contained... | |
 | William Chauvenet - 1893 - 340 pages
...The opposite sides of a parallelogram are equal, and the opposite angles are equal. PROPOSITION XXX. If two opposite sides of a quadrilateral are equal and parallel, the figure is a parallelogram. PROPOSITION XXXI. If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.... | |
 | Examinations - 1893 - 408 pages
...angles equal to twice the sum of the interior angles of a hexagon ? Explain. 6 4 Prove that if two sides of a quadrilateral are equal and parallel the figure is a parallelogram. 10 5 Prove that in equal circles' two angles at the center have the same ratio as their intercepted... | |
 | George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...everywhere equally distant. 160. Theorem. The diagonals of a parallelogram bisect each other. 161. Theorem. If two opposite sides of a quadrilateral are equal and parallel, the other two sides are equal and parallel, and the figure is a parallelogram. 162. Theorem. Rectangles... | |
 | George D. Pettee - Geometry, Modern - 1896 - 272 pages
...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
...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.... | |
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