 | Webster Wells - Geometry - 1908 - 336 pages
...equal. 2. A diagonal of a parallelogram divides it into two equal triangles. PROP. XXXII. THEOREM 106. If the opposite sides of a quadrilateral are equal, the figure is a parallelogram. a Draw quadrilateral ABCD having side BC = AD, and side AB = DC. We then have : Given, in quadrilateral... | |
 | Henry Sinclair Hall - 1908 - 286 pages
...AOB = vert. opp. /.COD, and AB = the opp. side CD ; .'. OA=OC; and OB = OD. Theor. \T. EXERCISES. 1. If the opposite sides of a quadrilateral are equal, the figure is a parallelogram. 2. If the opposite angles of a quadrilateral are equal, the figure is a parallelogram: 3. If the diagonals... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...relation to each other? 2. State and prove the converse of Corollary 2. THEOREM XXIV 192. // both pairs of opposite sides of a quadrilateral are equal, the figure is a parallelogram. Given: A quadrilateral ABCD, in A _n which AB = DC and AD = BC. / „-- y /' -\" I To Prove : ABCD... | |
 | William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 286 pages
...angle of a parallelogram is a right angle, the figure is a rectangle. PROPOSITION XL. THEOREM. 172. If the opposite sides of a quadrilateral are equal, the figure is a parallelogram. JB Given the quadrilateral ABCD, with AB = CD and AD = BC. To prove ABCD is a O. Proof. Draw BD. In... | |
 | George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...Twoparallellines are everywhere equally distant from each other. A PROPOSITION XXVII. THEOREM 129. If the opposite sides of a quadrilateral are equal, the figure is a parallelogram. Given the quadrilateral ABCD, having I1C equal to AD, and AB equal to DC. To prove that the quadrilateral... | |
 | Geometry, Plane - 1911 - 192 pages
...1. Prove that two straight lines perpendicular to the same straight line.are parallel. 2. Prove that if the opposite sides of a quadrilateral are equal, the figure is a parallelogram. 3. Prove that an angle inscribed in a circle is measured by one-half its intercepted arc. Three points... | |
 | David Eugene Smith - Geometry - 1911 - 360 pages
...for questioning by the teacher. THEOREM. The opposite sides of a parallelogram are equal. THEOREM. If the opposite sides of a quadrilateral are equal, the figure is a parallelogram. 10 o I This proposition is / I a very simple test for , & - •- — I/"i a parallelogram. It is the... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 pages
...diagonal, and the altitude upon the given side. PROPOSITION XXXIV. THEOREM (Converse of Prop. XXXII) 239. If the opposite sides of a quadrilateral are equal, the figure is a parallelogram. Ex. 283. Construct a parallelogram, given two adjacent sides and the included angle. Given quadrilateral... | |
 | David Eugene Smith - Geometry - 1911 - 358 pages
...for questioning by the teacher. THEOREM. The opposite sides of a parallelogram are equal. THEOREM. // the opposite sides of a quadrilateral are equal, the figure is a parallelogram. f @ el This proposition is (/ I a very simple test for i ^/ 0 $J-\ a parallelogram. It is the principle... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...diagonal, and the altitude upon the given side. PROPOSITION XXXIV. THEOREM (Converse of Prop. XXXII) 239. If the opposite sides of a quadrilateral are equal, the figure is a parallelogram. Ex. 283. Construct a parallelogram, given two adjacent sides and the included angle. Given quadrilateral... | |
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If the opposite sides of a quadrilateral are equal, the figure is a parallelogram. 
