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Standards/Math/South Carolina/G.GGPE

G.GGPE

G Geometry
G.GCI
G.GCO
G.GGMD
G.GGPE
G.GGPE.1G.GGPE.4G.GGPE.5G.GGPE.6G.GGPE.7
G.GM
G.GMD
G.GSRT
G.SPID

Expressing Geometric Properties with Equations

G.GGPE.1Understand that the standard equation of a circle is derived from the definition of a circle and the distance formula.G.GGPE.4Use coordinates to prove simple geometric theorems algebraically.G.GGPE.5Analyze slopes of lines to determine whether lines are parallel, perpendicular, or neither. Write the equation of a line passing through a given point that is parallel or perpendicular to a given line. Solve geometric and real-world problems involving lines and slope.G.GGPE.6Given two points, find the point on the line segment between the two points that divides the segment into a given ratio.G.GGPE.7Use the distance and midpoint formulas to determine distance and midpoint in a coordinate plane, as well as areas of triangles and rectangles, when given coordinates.
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