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High School Geometry
Domain Expressing Geometric Properties with Equations
Cluster Use coordinates to prove simple geometric theorems algebraically
Standard Use coordinates to prove simple geometric theorems algebraically. <span class='clarification'>For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, \sqrt{3}) lies on the circle centered at the origin and containing the point (0, 2).</span>

G-GPE.B.4. Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, \sqrt{3}) lies on the circle centered at the origin and containing the point (0, 2).