 | George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...angle and each exterior angle of regular polygons of three, four, five, • • •, ten sides. 10. If the diagonals of a quadrilateral bisect each other, the figure is a parallelogram. n R n 11. In this parallelogram ABCD, AP — CR, and BQ = DS Prove that PQRS is also a parallelogram.... | |
 | Robert Louis Short, William Harris Elson - Mathematics - 1910 - 200 pages
...EXERCISE 40 1. If two sides of a quadrilateral are equal and parallel, the figure is a parallelogram. 2. If the diagonals of a quadrilateral bisect each other, the figure is a parallelogram. 3. Two rectangles are equal when two adjacent sides of one are respectively equal to two adjacent sides... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 328 pages
...line are equal, then the lines are parallel. PROPOSITION XXXVI. THEOREM (Converse of Prop. XXXIII)241. If the diagonals of a quadrilateral bisect each other, the figure is a parallelogram. B AD Given quadrilateral ABCD with its diagonals AC and BD intersecting at O so that AO=-CO and BO... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...other four vertices form a parallelogram. PROPOSITION XXXVI. THEOREM (Converse of Prop. XXXIII) 241. If the diagonals of a quadrilateral bisect each other, the figure is a parallelogram. BC AD Given quadrilateral ABCD with its diagonals AC and BD in' tersecting at 0 so that AO = CO and... | |
 | George Clinton Shutts - Geometry - 1912 - 392 pages
...the figure is a rectangle. 2. The sum of the angles of a quadrilateral equals four right angles. 3. If the diagonals of a quadrilateral bisect each other, the figure is a parallelogram. This bears what relation to § 139? 4. If the opposite angles of a quadrilateral are equal the figure... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...angle and each exterior angle of regular polygons of three, four, five, • • • , ten sides. 10. If the diagonals of a quadrilateral bisect each other, the figure is a parallelogram. 11. In this parallelogram A BCD, AP — CR, and BQ = DS. Prove that PQRS is also a parallelogram. A... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...348. If ABCD is a parallelogram, AE AH p = 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. B PROPOSITION XXXV. THEOREM 147. If two sides of a quadrilateral are equal and parallel, the figure... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...348. If ABCD is a parallelogram, AE * H p = 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... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1915 - 280 pages
...o and Zr; = Zr (66). .'. A FXG is congruent to A EXH (76). (27). QED PROPOSITION XLII. THEOREM 132. If the diagonals of a quadrilateral bisect each other, the figure is a parallelogram. Given: Quadrilateral EFGH, diagonals EG and FH, FX = XH, EX = GX. To Prove : EFGH is a O. Proof : In... | |
 | John Wesley Young, Albert John Schwartz - Geometry, Modern - 1915 - 250 pages
...diagonal BD. A ABD = A CBD. Show that the opposite sides are parallel by § 162. 245. EXERCISES 1. If the diagonals of a quadrilateral bisect each other, the figure is a parallelogram. f~i 2. If the mid-points of the sides of a parallelogram are J°'ne(i 'n order, the resulting figure... | |
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If the diagonals of a quadrilateral bisect each other, the figure is a parallelogram. 
