PPT-Go over quiz 3.4 Polygon Angle Sum Theorems

1028 with practice on 1029 I can name and classify a polygon given the number of sides and vertices I can find the interior angles of a polygon using the Polygon Angle Sum Theorem I can find the exterior angle of a polygon using the Polygon Exterior Angle Sum Theorem. 20 1027200 1048830 1054860 1081860 1126920 1137390 1180200 1192470 1229340 1282710 O7 826440 864840 882600 896730 922290 947580 976770 1005900 1035120 1126920 1204380 O6 612540 672960 717120 717120 719850 750720 754770 754770 797670 873510 918030 O5 By. : . Team Math. tables found on wikepedia under polygons. Resource Page. Polygon names. . Name. Sides. triangle. (or trigon). 3. quadrilateral. (or tetragon). 4. pentagon. 5. hexagon. 6. heptagon. Learner Objective: Students will recognize regular polygons and will use the formula for finding 
the measure of the exterior angle of an equiangular polygon to solve problems.. Learner Objective: Students will recognize regular polygons and will use the formula for finding 
the measure of the exterior angle of an equiangular polygon to solve problems.. Convergence & Divergence Theorems. Convergence & Divergence Theorems. Convergence & Divergence Theorems. Convergence & Divergence Theorems. I can identify regular and not regular polygons and find the angle measurements of regular polygons. Review. The lengths of three sides of a triangle are given. Classify the triangle.. 1.. 12, 12, 12.  .  . Today’s Objectives:. Students will be able to find and use the sum of the measures of the interior angles of a polygon. . Students will be able to find and use the sum of the measures of the exterior angles of a polygon. . What is a quadrilateral?. . A quadrilateral is a closed 2 dimensional figure with that are line segments. . . four sides. What is a parallelogram?. Quadrilateral – 4 sides. . Theorems. m. example. Write a proof.. Given. : . Prove. : . . Statements Reason. . 1.. ___________________ _______________________. . 2.. ___________________ _______________________. . 3.. ___________________ _______________________. Unit Outline. 6-1 The Polygon Angle-Sum Theorems. 6-2 Properties of Parallelograms. 6-3 Proving that a Quadrilateral is a Parallelogram. 6-4 Properties of Rhombuses, Rectangles and Squares. 6-5 Conditions for Rhombuses, Rectangles and Squares. This unit introduces Polygons. . It defines polygons and regular polygons, and has the Polygon Angle Sum theorem. . This unit also details quadrilaterals, special quadrilaterals, congruent polygons, similar polygons, and the Golden Ratio.. -Polygon. : a closed plane figure with at least 3 sides that are segments that only intersect at their endpoints where no adjacent sides are collinear. -Regular Polygon. : . a polygon that is both equilateral and . Characteristics of a Polygon. Decide if each shape is a polygon or not. . . Polygon . . Not a Polygon. Convex Polygons. Line segments do not extend into itself. Concave Polygons. Line segments DO extend into itself. I. . -monotone polygon.  . II. Partitioning a simple polygon into . -monotone pieces.  . III. Triangulating a . -monotone polygon .  . Brute-Force Triangulation . 1. Find a diagonal.. 2. Triangulate the two resulting subpolygons recursively.. 4. quadrilateral . 5. pentagon. 6. hexagon. 7. heptagon. 8. octagon. 9. nonagon. 10. decagon. 11. undecagon. 12. dodecagon. 6.1 . Angles of Polygons. Then/Now. You named and classified polygons. . Find and use the sum of the measures of the interior angles of a polygon..