The Shortest Line Segment from Point P to Line L

This is a foundational geometry task designed to provide a route for students to develop some fundamental geometric properties that may seem rather obvious at first glance. In this case, the fundamental property in question is that the shortest path from a point to a line meets the line at a right angle which is crucial for many further developments in the subject.
Resource ID#: 44613 Type: Problem-Solving Task
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General Information

Subject(s): Mathematics
Grade Level(s): 8, 9, 10, 11, 12
Intended Audience: Educators educators, Students , Parents
Suggested Technology: Microsoft Office
Instructional Time: 10 Minute(s)
Keywords: line segment, Pythagorean Theorem, proof, distance from point to line, coordinates, prove, verify, Coordinate proof, cpalms, icpalms, illustrativemathematics.org, illustrative mathematics, tasks, mathematics, math, Florida standards, resource, free, freely available, problems-based learning, student activities, legs, hypotenuse, Pythagorean Theorem, shortest distance, perpendicular
Instructional Component Type(s): Problem-Solving Task
Resource Collection: Illustrative Mathematics

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