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" If the diagonals of a parallelogram are equal, the figure is a rectangle. "
A Treatise on Special Or Elementary Geometry - Page 109
by Edward Olney - 1872 - 201 pages
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Plane and Solid Geometry

Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...74. If two lines in a plane are everywhere equally distant, they are parallel. [Use 93 ; 135.] 75. If the diagonals of a parallelogram are equal, the figure is a rectangle. [Use A ABC and DEC; 185 (3); 50.] B • 77. The perpendiculars to the legs of an isosceles triangle...
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Exercises in Geometry

Grace Lawrence Edgett - Geometry - 1909 - 104 pages
...a parallelogram from the opposite vertices are equal. 4. The diagonals of a rectangle are equal. 5. If the diagonals of a parallelogram are equal, the figure is a rectangle. U 6. If one angle of a parallelogram is twice another, find all the angles of the parallelogram. 7....
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Second-year Mathematics for Secondary Schools, Volume 2

George William Myers - Mathematics - 1910 - 304 pages
...vertices, the triangles formed with the bases are congruent. 3. The diagonals of a square are equal. 4. If the diagonals of a parallelogram are equal, the figure is a rectangle. 5. Parallels intercepted between parallels are equal. 6. Prove the correctness of the construction...
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Appleton's New Practical Cyclopedia: A New Work of Reference Based ..., Volume 5

Marcus Benjamin, Arthur Elmore Bostwick, Gerald Van Casteel, George Jotham Hagar - Encyclopedias - 1910 - 548 pages
...rectangle. If two adjacent sides are equal, the other sides are also equal, and the figure is a rhombus. If the diagonals of a parallelogram are equal, the figure is a rectangle ; if they are perpendicular to each other, the figure is a rhombus; if they are equal and perpendicular,...
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College Entrance Examination Papers in Plane Geometry

Geometry, Plane - 1911 - 192 pages
...other. 2. Any point in the bisector of an angle is equally distant from the sides of the angle. 3. If the diagonals of a parallelogram are equal, the figure is a rectangle. 4. A parallel to one side of a triangle divides the other two sides proportionally, even when the segments...
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Plane Geometry

Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 pages
...The diagonals of a rectangle are equal. Ex. 265. The diagonals of a rhomboid are unequal. Ex. 266. If the diagonals of a parallelogram are equal, the figure is a rectangle. Ex. 267. If the diagonals of a parallelogram are not equal, the figure is a rhomboid. Ex. 268. Draw...
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Plane and Solid Geometry

Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...264. The diagonals of a rectangle are equal. Ex. 265. The diagonals of a rhomboid are unequal Ex. 266. If the diagonals of a parallelogram are equal, the figure is a rectangle. Ex. 267. If the diagonals of a parallelogram are not equal, the figure is a rhomboid. Ex. 268. Draw...
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Plane and Solid Geometry: Suggestive Method

George Clinton Shutts - Geometry - 1912 - 392 pages
...the diagonals of a parallelogram intersect at right angles the figure is a rhombus or a square. 3. If the diagonals of a parallelogram are equal the figure is a rectangle. 4. The opposite sides of a window frame are equal. Bsfore putting on stay laths the carpenter "squares...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 490 pages
...The diagonals of a rectangle are equal. Ex. 345. The diagonals of a rhomboid are unequal. Ex. 346. If the diagonals of a parallelogram are equal, the figure is a rectangle. t PROPOSITION XXXIV. T REOREM 146. If the opposite sides of a quadrilateral are equal, the figure is...
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Schultze and Sevenoak's Plane Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...The diagonals of a rectangle are equal. Ex. 345. The diagonals of a rhomboid are unequal. Ex. 346. If the diagonals of a parallelogram are equal, the figure is a rectangle. PROPOSITION XXXIV. THEOREM 146. If the opposite sides of a quadrilateral are equal, the figure is a...
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