PPT-6 .1 The Polygon angle-sum theorems

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 . Circle Theorems. Dr J Frost (jfrost@tiffin.kingston.sch.uk. ). www.drfrostmaths.com. . Last modified: . 31. st. August 2015. RECAP. : Parts of a Circle. Sector. (Minor). Segment. Diameter. Radius. Tangent. 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.. 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. Draw polygons with specified attributes to solve problems. .. Equivalent Counting. With Units of 7. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 1 seven. 2 sevens. 3 sevens. 4 sevens. 5 sevens. 6 sevens. 7 sevens. Intersecting. Perpendicular. Parallel. None of these. Identify the following type of angle: . Straight. Right. Acute. Obtuse. Identify the following type of line:. Ray. Line segment. line. What is straight, is part of a line, and has 2 endpoint?. Polygon Interior angle sum. The sum of the interior angle measures of an . n. -sided convex polygon is (n-2) 180. Po. lygon Exterior angle sum. The sum of the exterior angle measures of a convex polygon, one angle at each vertex is 360 degrees. Angles and Geometry. Dr J Frost (jfrost@tiffin.kingston.sch.uk) . Last modified: 5. th. January 2014. Copy the diagram, then determine x.. Starter. 11. °. x. °. 22. °. 11. °. 22. °. 136. °. 33. Triangles. Isosceles Triangles. leg. leg. base. Vertex angle. Base angle. Base angle. 2 sides are congruent. 2 theorems. If 2 sides are congruent, then base angles are congruent. If 2 . base angles . . Theorems. m. example. Write a proof.. Given. : . Prove. : . . Statements Reason. . 1.. ___________________ _______________________. . 2.. ___________________ _______________________. . 3.. ___________________ _______________________. 10/28 with practice on 10/29. 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. 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. Learning for Simple Geometrical Concepts. Wang-Zhou Dai. Stephen H. . Muggleton. Zhi-Hua Zhou. Outline. Motivation. Proposed Method. Experiments. Motivation. Great success of statistical learning in computer vision. Exemplification Work out the size of each angle. Diagrams are not drawn accurately. 72.5° 162 ° 206° D E F O °   °   Form and solve an equation and find the value of .   _______   FOE ). www.drfrostmaths.com. . Last modified: . 31. st. August 2015. RECAP. : Parts of a Circle. Sector. (Minor). Segment. Diameter. Radius. Tangent. Chord. (Minor) Arc. Circumference. ?. ?. ?. ?. ?. !.