Elementary Geometry; Congruent Figures (Paperback)

Purchase of this book includes free trial access to www.million-books.com where you can read more than a million books for free. This is an OCR edition with typos. Excerpt from book: Fig. 61. To the join of two lines corresponds the join of the corresponding l1nes, to the join of two po1nts the join of the corresponding points, to the segment between two points the segment between the corresponding points, to the angle between two lines the angle between the corresponding lines, and so on. F1u. 62. To the join of two points cerresponds the join of the corresponding points, to the join of two lines the join of thecorrespondinglines, tothe angle between two lines the angle between the corresponding lines, to the segment between two points the segment between the corresponding points, and so on. Fig. 63. To three or more points in a line correspond three or more points in the corresponding line; or To three or more lines in a point correspond three or more lines in the corresponding point; or If three points A, B, C (fig. 62) lie in a line, the three corresponding points A', B', C lie in a linewhich corresponds to the first. To three or more lines in a point correspond three or more lines in the corresponding point; or?If three lines abc lie in a point (fig. 64), the three corresponding lines a' b' c' lie in a point which corresponds to the former. Fig. 64. If three lines a, b, c (fig. 63) meet in a point, the three corresponding lines a', b', c' meet in a point which corresponds to the former. To three or more points in a line correspond three or more points in the corresponding line; or?If threepoints A B C'(fig. 65) lie in a line, the three corresponding points A ' B' C lie in a line which corresponds to the former. Fig. 65. Corresponding segments Corresponding angles are equal in length. are equal in magnitude and As they are not necessarily sense. parallel, we cannot compare their sense. Corresponding angles Corr...