It's all Greek to me. Scholars work a task that Greeks first formulated for an ancient math challenge. Provided with an angle and a point inside the angle, scholars develop conjectures about what is true about the shortest line segment through the point that intersects both sides of the angle. 

Concepts

angles, triangle properties, perpendicular lines, distance, equidistant

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Additional Tags

math

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Instructional Ideas

• Develop an interactive geometry application to help the class manipulate the figure
• Gather all the conjectures and determine whether they all describe the same line segment

Classroom Considerations

• Pupils should be comfortable working with triangle relationships

Pros

• Includes a description of a sample solution
• Provides a diagram to illustrate the scenario

Cons

• None

Common Core

HSG-SRT.B.5 HSG-GPE.B.6 MP1 MP6