broken line divides a polygon into 2 polygons
Source: TOT 561 1997 Autumn S A2
September 11, 2024
geometrybroken linepolygonconvex polygon
Problem Statement
Which of the following statements are true?(a) If a polygon can be divided into two congruent polygons by a broken line segment, it can be divided into two congruent polygons by a straight line segment. (b) If a convex polygon can be divided into two congruent polygons by a broken line segment, it can be so divided by a straight line segment.(c) If a convex polygon can be divided into two polygons by a broken line segment, one of which can be mapped onto the other by a combination of rotations and translations, it can be so divided by a straight line segment.(S Markelov,)