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S-1 Unit 6 – Quadrilaterals (3 weeks) Drag Drag NVACS Standards G.CO.C.10 - Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point. G.CO.C.11 - Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals. G.SRT.B.5 - Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. 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, √3) lies on the circle centered at the origin and containing the point (0, 2). G.CO.D.13 - Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle. Learning Targets 6.1 To classify polygons based on their sides and angles. G.CO.C.10 6.2 To find and use the measures of interior and exterior angles of regular and irregular polygons. G.CO.C.10 6.3 To prove theorems about parallelograms, such as opposite sides are congruent and parallel, opposite angles are congruent, consecutive angles are supplementary, and diagonals bisect each other. G.CO.C.11 6.4 To use criteria to prove that a quadrilateral is a parallelogram. G.CO.C.11 6.5 To know and use the properties for special parallelograms, such as rectangle, rhombus, and square. G.CO.C.11, G.SRT.B.5 6.6 To use criteria to prove that a parallelogram is a rectangle, rhombus, or square. G.CO.C.11, G.SRT.B.5 6.7 To know and use properties for kites and trapezoids. G.SRT.B.5 6.8 To use coordinate geometry to prove statements about quadrilaterals. G.GPE.B.4, G.GPE.B.5 6.9 To construct regular polygons (triangle, square, and hexagon) inscribed in a circle. G.CO.D.13 Revised: 2015-2016 Page 1