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Geometry February 9, 2017 Chapter 6 Review DO NOW Find the measure of an interior and an exterior angle for each REGULAR polygon: 1. Square 2. Hexagon 3. Octagon 4. 20-gon Today’s Objectives 1. Apply the properties of kites. 2. Review chapter 6. Kite A quadrilateral with two pairs of ADJACENT congruent sides (of different lengths). Practice (Worksheet) Polygon Vocabulary •Equiangular: Equal angles •Equilateral: Equal sides •Regular: Equal angles AND sides •Quadrilateral: A polygon with four sides Interior/Exterior Angle Sum Theorems TOTAL OF ANGLES EACH ANGLE (REGULAR) INTERIOR EXTERIOR 𝑛 − 2 × 180° 360° 𝑛 − 2 × 180° 𝑛 360° 𝑛 Euler Diagrams Polygons Triangles Quadrilaterals Euler Diagrams Quadrilaterals Kites Parallelograms Trapezoids Isosceles Trapezoids Euler Diagrams Parallelograms Rhombuses Rectangles Squares Pairs of Parallel Sides Zero: Kite One: Trapezoid Two: Parallelogram Rectangle Rhombus Square Pairs of Opposite Congruent Angles Zero: Trapezoid One: Kite Two: Parallelogram Rectangle Rhombus Square Pairs of Congruent Sides Zero: Trapezoid One: Isosceles Trapezoid Two: Kite Parallelogram Rectangle All sides: Rhombus Square Diagonals Bisect Each Other? Zero: Trapezoid One: Kite Both: Parallelogram Rectangle Rhombus Square Diagonals Congruent? Rectangle Square Isosceles Trapezoid Diagonals Perpendicular? Rhombus Square Kite Practice