STANDARD G.GPE.B.4
GEO

On the coordinate plane, algebraically prove geometric theorems and properties.
• Examples include but not limited to:
   o Given points and/or characteristics, prove or disprove a polygon is a specified quadrilateral or triangle based on its properties.
   o Given a point that lies on a circle with a given center, prove or disprove that a specified point lies on the same circle.
• This standard is a fluency recommendation for Geometry. Fluency with the use of coordinates to establish geometric results and the use of geometric representations as a modeling tool are some of the most valuable tools in mathematics and related fields.