Angle bisection and midpoints of line segments

This task provides a construction of the angle bisector of an angle by reducing it to the bisection of an angle to finding the midpoint of a line segment. It is worth observing the symmetry -- for both finding midpoints and bisecting angles, the goal is to cut an object into two equal parts.
Resource ID#: 44127 Type: Problem-Solving Task
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General Information

Subject(s): Mathematics
Grade Level(s): 9, 10, 11, 12
Intended Audience: Educators educators, Students , Parents
Suggested Technology: Adobe Acrobat Reader, Microsoft Office
Instructional Time: 15 Minute(s)
Keywords: angles, bisection, midpoints, line segments, symmetry, Florida Standards, midpoint, distance, triangle congruence, transformations with triangles, rigid motion, symmetry, cpalms, icpalms, illustrativemathematics.org, illustrative mathematics, tasks, mathematics, math, resource, free, freely available, problems-based learning, student activities, angle bisector, compass, construct, equidistant, locus, midpoint, perpendicular line, ruler, verify midpoint, verify angle bisector
Instructional Component Type(s): Problem-Solving Task
Resource Collection: Illustrative Mathematics

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