Ø Determine the sum of the measures of the interior angles of any polygon and the measure of each angle in a regular polygon. Ø Apply the knowledge that the sum of the exterior angles of a polygon is constant at 360 degrees. Ø Identify, prove, and apply the properties of general and special quadrilaterals.
· Quadrilateral · Kite · Trapezoid · Parallelogram
G.2.A Know, prove, and apply theorems about parallel and perpendicular lines. G.2.B Know, prove, and apply theorems about angles, including angles that arise from parallel lines intersected by a transversal. *G.3.F Know, prove, and apply basic theorems about parallelograms. *G.3.G Know, prove, and apply theorems about properties of quadrilaterals and other polygons. G.4.A Determine the equation of a line in the coordinate plane that is described geometrically, including a line through two given points, a line through a give point parallel to a given line, and a line through a given point perpendicular to a given line. *G.4.B Determine coordinates of a point that is described geometrically.
G.1.B Use inductive reasoning to make conjectures, to test the plausibility of a geometric statement, and to help find a counterexample. *G.1.C Use deductive reasoning to prove that a valid geometric statement is true. *G.4.C Verify and apply properties of triangles and quadrilaterals in the coordinate plane.
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.G Synthesize information to draw conclusions and evaluate the argument and conclusions of others. |