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" The lines joining the mid-points of the opposite sides of a quadrilateral bisect each other. "
Plane Geometry - Page 78
by Edith Long, William Charles Brenke - 1916 - 276 pages
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Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 344 pages
...cross quadrilaterals, and for the special case of an interior angle of 180°.) 168. The lines joining the mid-points of the opposite sides of a quadrilateral bisect each other. Consider for the special cases mentioned in ex. 167. 169. The line joining the mid-points of the diagonals...
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Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 346 pages
...cross quadrilaterals, and for the special case of an interior angle of 180°.) 168. The lines joining the mid-points of the opposite sides of a quadrilateral bisect each other. Consider for the special cases mentioned in ex. 167. 169. The line joining the mid-points of the diagonals...
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New Plane Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry, Modern - 1899 - 265 pages
...cross quadrilaterals, and for the special case of an interior angle of 180°.) 116. The lines joining the mid-points of the opposite sides of a quadrilateral bisect each other. Consider for the special cases mentioned in ex. 115. 117. The line joining the mid-points of the diagonals...
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New Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 416 pages
...cross quadrilaterals, and for the special case of an interior angle of 180°.) 116. The lines joining the mid-points of the opposite sides of a quadrilateral bisect each other. Consider for the special cases mentioned in ex. 115. 117. The line joining the mid-points of the diagonals...
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Plane and Solid Geometry

Isaac Newton Failor - Geometry - 1906 - 440 pages
...whose perimeter is equal to the sum of the two diagonals of the quadrilateral. 227 The lines joining the mid-points of the opposite sides of a quadrilateral bisect each other. 228 The bisectors of the angles of any quadrilateral inclose a quadrilateral whose opposite angles...
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Plane and Solid Geometry

Isaac Newton Failor - Geometry - 1906 - 431 pages
...whose perimeter is equal to the sum of the two diagonals of the quadrilateral. 227 The lines joining the mid-points of the opposite sides of a quadrilateral bisect each other. 228 The bisectors of the angles of any quadrilateral inclose a quadrilateral whose opposite angles...
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Plane Geometry

Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...same distance, so that AE = BF= CG.= DH, the figure EFGH will be a square. 139. The two lines joining the midpoints of the opposite sides of a quadrilateral bisect each other. [Join the 4 midpoints (in order), etc.] 140. If two adjacent angles of a quadrilateral are right angles,...
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Plane and Solid Geometry

Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...same distance, so that AE = BF= CG = DH, the figure EFGH will be a square. 139. The two lines joining the midpoints of the opposite sides of a quadrilateral bisect each other. [Join the 4 midpoints (in order), etc.] 140. If two adjacent angles of a quadrilateral are right angles,...
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Plane and Solid Geometry

Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...adjacent sides of any quadrilateral are joined, the figure thus formed is a parallelogram. 12. Show that the lines which join the midpoints of the opposite sides of a quadrilateral bisect one another. SUGGESTION. Use Ex. 11 to prove A EON ^ A GOF, or use § 189. 13. Construct a parallelogram,...
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Elements of Plane Geometry

William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 284 pages
...a trapezoid is parallel to the bases and equal to half their difference. Ex. 50. The lines joining the mid-points of the opposite sides of a quadrilateral bisect each other, and bisect the line joining the mid-points of the diagonals. Ex. 51. The line joining the mid-points...
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