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Standards/Math/Texas/G.5

G.5

G Geometry
G.2
G.3
G.4
G.5
G.5.AG.5.BG.5.CG.5.D
G.6
G.7
G.8
G.9
G.10
G.11
G.12
G.13

Logical argument and constructions. The student uses constructions to validate conjectures about geometric figures.

G.5.AInvestigate patterns to make conjectures about geometric relationships, including angles formed by parallel lines cut by a transversal, criteria required for triangle congruence, special segments of triangles, diagonals of quadrilaterals, interior and exterior angles of polygons, and special segments and angles of circles choosing from a variety of tools.G.5.BConstruct congruent segments, congruent angles, a segment bisector, an angle bisector, perpendicular lines, the perpendicular bisector of a line segment, and a line parallel to a given line through a point not on a line using a compass and a straightedge.G.5.CUse the constructions of congruent segments, congruent angles, angle bisectors, and perpendicular bisectors to make conjectures about geometric relationships.G.5.DVerify the Triangle Inequality theorem using constructions and apply the theorem to solve problems.
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