 | 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... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 336 pages
...parallelogram. Proof. Draw the diagonal BD. A AABD = ACDB. AB = CD. .'. ABCD is a parallelogram. 161. Theorem. If the diagonals of a quadrilateral bisect each other, the figure is a parallelogram. 162. Theorem. The line joining the middle points of two opposite sides of a parallelogram is parallel... | |
 | 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... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 296 pages
...parallelogram. Proof. Draw the diagonal BD. AB = CD. .-. ABCD is a parallelogram. 161. Theorem. // the diagonals of a quadrilateral bisect each other, the figure is a parallelogram. 162. Theorem. The line joining the middle points of two opposite sides of a parallelogram is parallel... | |
 | John Charles Stone, James Franklin Millis - Geometry - 1916 - 306 pages
...be proved equal by proving what triangles congruent ? Write out the complete proof. 92. Theorem. — If the diagonals of a quadrilateral bisect each other, the figure is a parallelogram. The proof is left to the student. 93. Theorem. — In any rectangle the diagonals are equal. B Hypothesis.... | |
 | Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...opposite sides of a quadrilateral are equal and parallel, the figure is a parallelogram. § 161. Theorem. If the diagonals of a quadrilateral bisect each other, the figure is a parallelogram. § 162. Theorem. The line joining the middle points of two opposite sides of a parallelogram is parallel... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...ABCD is a parallelogram, AE * H p = Cff, and BF = DH, then EFGH is a paral. Ey( lelogram. 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... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...parallelogram. Proof. Draw the diagonal BD. AABD=ACDB. AB = CD. .-. ABCD is a parallelogram. 161. Theorem. // the diagonals of a quadrilateral bisect each other, the figure is a parallelogram. 162. Theorem. The line joining the middle points of two opposite sides of a parallelogram is parallel... | |
 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Modern - 1920 - 328 pages
...triangles of the second, are the quadrilaterals congruent? Explain. Theorem 18 (Converse of Theorem IT) 91. If the diagonals of a quadrilateral bisect each other, the figure is a parallelogram . Given the quadrilateral ABCD (using the figure of § 90) in which AK equals KC and DK equals KB.... | |
 | Robert Remington Goff - 1922 - 136 pages
...two opposite sides of a quadrilateral are equal and parallel, the figure is a parallelogram. *I03. // the diagonals of a quadrilateral bisect each other, the figure is a parallelogram. 104. // the opposite angles of a quadrilateral are equal, the figure is a parallelogram. SUMMARY 105.... | |
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If the diagonals of a quadrilateral bisect each other, the figure is a parallelogram. 
