NCTM Standards
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Geometry Standard for Grades 9-12

Standard.  Analyze characteristics and properties of two- and three- dimensional geometric shapes and develop mathematical arguments about geometric relationships.  

Students will analyze properties and determine attributes of the nine-point circle and Euler line.  Students will explore relationships among different nine-point circles/Euler lines,  making and stating conjectures about them.

Standard.  Use visualization, spatial reasoning, and geometric modeling to solve problems.

Students will use the model given by Geometer's Sketchpad to gain insight into, and answer questions about the nine-point circle and Euler line.