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### Chapter 3--Using Tools of Geometry

 Essential Question:  How can we use constructions to verify shapes and the relationships between the various parts of these shapes? Unit Rationale:  Constructions expand our understanding of the properties of geometric shapes and the relationships between the various parts of these shapes. As a result of this unit, students will be able to construct:  Copies of Angles and Segments  Angle and Segment Bisectors Perpendiculars, Altitudes, and Medians  Parallel Lines Vocabulary: ·        Construction ·        Compass ·        Straightedge ·        Perpendicular Bisector ·        Median ·        Mid-Segment ·        Altitude ·        Points of Concurrency ·        Centroid Standards: Standards will be assessed on both the state and classroom levels, however, standards with an asterisk (*) in the code will count for graduation requirements.  Focus Standards: G.2.C Explain and perform basic compass and straightedge constructions related to parallel and perpendicular lines. Supporting Standards: *G.3.A Know, explain, and apply basic postulates and theorems about triangles and the special lines, line segments, and rays associated with a triangle. G.3.I Explain and perform constructions related to a circle. *G.4.C Verify and apply properties of triangles and quadrilaterals in the coordinate plane. *G.4.B Determine the coordinates of a point that is described geometrically. Reasoning, Problem Solving, and Communication Standards: G.7.D Generalize a solution strategy for a single problem to a class of related problems, and apply a strategy for a class of related problems to solve specific problems. G.7.H Use inductive reasoning to make conjectures, and use deductive reasoning to prove or disprove conjectures.