 If two sides of a quadrilateral are equal and parallel, the figure is a parallelogram.  Plane Geometry - Page 83by Jacob William Albert Young, Lambert Lincoln Jackson - 1916 - 312 pagesFull view - About this book
 | William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...triangles. 167. The opposite sides and the opposite angles of a parallelogram are equal. 173. If two sides of a quadrilateral are equal and parallel, the figure is a parallelogram. 176. Two parallelograms are congruent if two sides and the included angle of one are equal, respectively,... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Solid - 1912 - 220 pages
...altitude. 234. Parallel lines intercepted between the same parallel lines are equal. 240. If two epposite sides of a quadrilateral are equal and parallel, the figure is a parallelogram. 252. The two perpendiculars to the sides of an angle from any point in its bisector are equal. 253.... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...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 is a parallelogram. tr LJ Given quadrilateral ABCD, with AB II CD; and AB = CD. To prove ABCD is a parallelogram. [The... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 490 pages
...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 is a parallelogram. LJ Given quadrilateral ABCD, with AB II CD; and AB = CD. To prove ABCD is a parallelogram. [The proof... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1915 - 280 pages
...is II to DC Also Z y = Z # .'. 4D is II to BC Hence ABCD is a O PROPOSITION XL. THEOREM 129. If two sides of a quadrilateral are equal and parallel, the...figure is a parallelogram. Given: Quadrilateral ABCD ; AB = DC and AB II to DC. To Prove : ABCD is a O. Proof : Draw diagonal BD. In A ABD and CBD, BD =... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 320 pages
...and Zr = Zs. Why? AD II BC and AB II DC. § 127 .'. ABCD is a parallelogram. § 148 160. Theorem. // two opposite sides of a quadrilateral are equal and parallel, the figure is a parallelogram. Given the quadrilateral ABCD, having BC=ADa,ndBC\\AD. To prove that ABCD is a parallelogram. Proof. Draw... | |
 | Webster Wells, Walter Wilson Hart - Geometry, Plane - 1915 - 330 pages
...45°. Measure the longer and shorter sides of the parallelogram. PROPOSITION XXV. THEOREM 138. If two sides of a quadrilateral are equal and parallel, the figure is a parallelogram. Hypothesis. AB=CD; AB II CD. Conclusion. ABCD is a parallelogram. Plan. AD must be proved II to BC.... | |
 | John Wesley Young, Albert John Schwartz - Geometry, Modern - 1915 - 250 pages
...the _ ,, figure is a rectangle. A BAD s&ABC. .-. Z DAB = /. CBA. PARALLELOGRAM 246. THEOREM. If two sides of a quadrilateral are equal and parallel, the figure is a parallelogram. FIG. 107. (The proof is left to the student.) 247. COROLLARY 1. The median drawn to v/ two sides of... | |
 | John Charles Stone, James Franklin Millis - Geometry - 1916 - 298 pages
...Z. Hence show that AB II DC. By similar proof, AD II .BCf. Write the proof in full. 90. Theorem. — If two opposite sides of a quadrilateral are equal and parallel, the figure is a parallelogram. Hypothesis. AB II DC and AB = DC. Conclusion. ABCD is a parallelogram. Suggestions. It may be proved... | |
 | John Charles Stone, James Franklin Millis - Geometry, Solid - 1916 - 196 pages
...parallelogram into two congruent triangles. § 85. Two parallel lines are everywhere equidistant. § 90. If two opposite sides of a quadrilateral are equal and parallel, the figure is a parallelogram. § 100. If a line-segment is parallel to the bases of a trapezoid and bisects one of the non-parallel... | |
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