 | John Charles Stone, James Franklin Millis - Geometry - 1916 - 298 pages
...angles supplementary. The proof is left to the student. Write the proof in full. 87. Theorem. — If the opposite sides of a quadrilateral are equal, the figure is a parallelogram. Hypothesis. In quadrilateral AB CD, AB = DC and AD = BC. Conclusion. ABCD is a parallelogram. Suggestions.... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...equal, \ \ H JK AB II CD and EF II HK. C - j? - ^- o jl Prove that EF = HK. §155 A c F 159. Theorem. If the opposite sides of a quadrilateral are equal, the figure is a parallelogram. AB Given AB = DC, and AD = BC. /-^X 7 To prove that ABCD is a parallelogram. / >-y Proof. Draw the... | |
 | Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...each other. § 168. Theorem. Parallels cut off by two parallel lines are equal. § 169. Theorem. If the opposite sides of a quadrilateral are equal, the figure is a parallelogram. § 160. Theorem. If two opposite sides of a quadrilateral are equal and parallel, the figure is a parallelogram.... | |
 | George Albert Wentworth, David Eugene Smith, Joseph Clifton Brown - Mathematics - 1918 - 304 pages
...diagonal determined by the other vertices, are equal. THEOREM. OPPOSITE SIDES EQUAL 96. If both pairs of opposite sides of a quadrilateral are equal, the figure is a parallelogram. Given the quadrilateral ABCD, having BC equal to AD, and AB equal to DC. To prove that ABCD is a parallelogram.... | |
 | High schools - 1919 - 962 pages
...bisector of the vertex angle of a triangular is perpendicular to the base, the triangle is isosceles. If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.) In preparation for a recitation in geometry, I make an assignment to be •worked out in a forty-five... | |
 | John Charles Stone - Mathematics - 1919 - 248 pages
...name of the figure, whatever angle the sides make with each other ? This illustrates the fact that, If the opposite sides of a quadrilateral are equal, the figure is a parallelogram. z> c 8. The figure shows the picture of an instrument called a parallel ruler, used for drawing parallel... | |
 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Modern - 1920 - 328 pages
...quadrilateral are right angles, the figure is a rectangle. Theorem IS (Converse of Theorem 14) 87. If the opposite sides of a quadrilateral are equal, the figure is a parallelogram. Given the quadrilateral ABCD in which AB equals DC and AD equals BC. To prove that ABCD is a parallelogram.... | |
 | High schools - 1920 - 350 pages
...bisector of the vertex angle of a triangular is perpendicular to the base, the triangle is isosceles. If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.) In preparation for a recitation in geometry, I make an assignment to be worked out in a forty-five... | |
 | Robert Remington Goff - 1922 - 136 pages
...Trapezoid. 97. Define Parallelogram. 98. Define Rhombus. 99. Define Rectangle. 100. Define Square. *Io1. // the opposite sides of a quadrilateral are equal, the figure is a parallelogram. *Ioz. If two opposite sides of a quadrilateral are equal and parallel, the figure is a parallelogram.... | |
 | Clarence Addison Willis - Geometry, Modern - 1922 - 318 pages
...and analyze all the properties of a square. CONVERSE PRINCIPLES 176. Theorem VIII.—// both pairs of opposite sides of a quadrilateral are equal, the figure is a parallelogram (163, part (6)). A Hypothesis.—Quadrilateral ABDC with AB = CD and AC = BD. Conclusion.—ABDC is... | |
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If the opposite sides of a quadrilateral are equal, the figure is a parallelogram. 
