 | Clarence Addison Willis - Geometry, Modern - 1922 - 320 pages
...pairs of sides are equal, each to each, since we may apply the principle of 176. 178. Theorem X. — // the diagonals of a quadrilateral bisect each other, the figure is a parallelogram. Helps. — Both pairs of opposite sides may be proved parallel, or the principles of either 176 or... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...square. Ex. 348 If ABCD is a parallelogram, AE = CG, and BF = DH, then EFGH is a parallelogram. Ex. 349. If the diagonals of a quadrilateral bisect each other, the figure is a parallelogram. PROPOSITION XXXV. THEOREM 147. If two sides of a quadrilateral are equal and parallel, the figure is... | |
 | Edson Homer Taylor, Fiske Allen - Mathematics - 1923 - 104 pages
...segments of one diagonal as corresponding sides and prove the triangles congruent. THEOREM XVI 108. // the diagonals of a quadrilateral bisect each other the figure is a parallelogram. Prove this theorem, using Theorem I and Theorem VII. THEOREM XVII 109. The diagonals of a rectangle... | |
 | Frank Charles Touton - Geometry, Plane - 1924 - 136 pages
...(16) HE — EF. (Each equals %OB = DB.) (17) CE = BA (Hypothesis.) (18) CHAF is a parallelogram. (19) If the diagonals of a quadrilateral bisect each other, the figure is a parallelogram. (20) CF is = and || to HA. (21) The opposite sides of a parallelogram are = and ||. (22) The medians... | |
 | Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
...parallel, and the figure is a parallelogram. 3. The diagonals of a parallelogram bisect each other. 4. If the diagonals of a quadrilateral bisect each other, the figure is a parallelogram. 5. If the diagonals of a parallelogram are equal, the figure is a rectangle. 6. If two circles intersect,... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1925 - 504 pages
...Alt. int. A of || lines are 3. Opp. sides of O are =. 4. asa = asa 6. Corr. sides of = A are Ex. 1. // the diagonals of a quadrilateral bisect each other, the figure is a parallelogram. [Converse to Prop. 38.] Ex. 2. The diagonals of a rhombus are perpendicular to each other. Ex. 3. //... | |
 | N. Basu, S. Nanda, P. C. Nayak - Mathematics - 1999 - 438 pages
...a tetrahadron to the centroid of the opposite sides are concurrent. 2. Prove by vector method that the diagonals of a parallelogram bisect each other and conversely if the diagonals of a quadilateral bisect each other then it is a parallelogram. 3. Prove by vector method that the figure... | |
 | Newfoundland Council of Higher Education - 1919 - 180 pages
...BC, a side of the triangle ABC, and AD is equal to BD. Prove that BAG is a right angle. 5. Prove that if the diagonals of a quadrilateral bisect each other, the figure is a parallelogram. 6. A is a point in BC and is nearer to B than to C. AD is perpendicular to BC. Prove that CD is greater... | |
 | Public schools - 1897 - 770 pages
...parts. 2. An exterior angle of a triangle is equal to the sum of the two remote interior angles. 3. If the diagonals of a quadrilateral bisect each other, the figure is a parallelogram. 4. Find the center of a circle. 5. A circumference can always be passed through the angular points... | |
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If the diagonals of a quadrilateral bisect each other, the figure is a parallelogram. 
