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Congruent Polygons, Classifying Triangles and Quadrilaters, and Angles and Polygons April 14, 2014 Monday, April 14, 2015 I can prove congruency between different polygons, classify triangles and quadrilaterals, and find the measures of a polygons. 1 Congruent Polygons, Classifying Triangles and Quadrilaters, and Angles and Polygons April 14, 2014 2 Congruent Polygons, Classifying Triangles and Quadrilaters, and Angles and Polygons April 14, 2014 Arcs vs Tics 3 Congruent Polygons, Classifying Triangles and Quadrilaters, and Angles and Polygons April 14, 2014 Congruency Statements Y M V R K T L P 4 Congruent Polygons, Classifying Triangles and Quadrilaters, and Angles and Polygons April 14, 2014 Showing Triangles are Congruent... SSS (sidesideside) 5 Congruent Polygons, Classifying Triangles and Quadrilaters, and Angles and Polygons April 14, 2014 Showing Triangles are Congruent... SAS (sideANGLEside) 6 Congruent Polygons, Classifying Triangles and Quadrilaters, and Angles and Polygons April 14, 2014 Showing Triangles are Congruent... ASA (anglesideangle) 7 Congruent Polygons, Classifying Triangles and Quadrilaters, and Angles and Polygons April 14, 2014 Show that each pair of triangles are congruent A B Y X C Z 8 Congruent Polygons, Classifying Triangles and Quadrilaters, and Angles and Polygons April 14, 2014 AA Similarity! If two angles of a triangle are congruent to two angles of another triangle, then the two triangles are similar. 9 Congruent Polygons, Classifying Triangles and Quadrilaters, and Angles and Polygons April 14, 2014 Classifying Triangles and Quadrilaterals *Must be as specific as possible. 10 Congruent Polygons, Classifying Triangles and Quadrilaters, and Angles and Polygons April 14, 2014 Classifying Triangles and Quadrilaterals *Must be as specific as possible. 11 Congruent Polygons, Classifying Triangles and Quadrilaters, and Angles and Polygons April 14, 2014 Four Sided Polygons 12 Congruent Polygons, Classifying Triangles and Quadrilaters, and Angles and Polygons April 14, 2014 Common Polygons Polygon Name Hexagon Number of Sides Polygon Name Number of Sides 3 8 4 9 5 10 Dodecagon Heptagon 13 Congruent Polygons, Classifying Triangles and Quadrilaters, and Angles and Polygons April 14, 2014 What are interior angles? 14 Congruent Polygons, Classifying Triangles and Quadrilaters, and Angles and Polygons April 14, 2014 Every polygon has a specific sum of the measures of interior angles 15 Congruent Polygons, Classifying Triangles and Quadrilaters, and Angles and Polygons April 14, 2014 What about a pentagon? 16 Congruent Polygons, Classifying Triangles and Quadrilaters, and Angles and Polygons April 14, 2014 What about a dodecagon? 17 Congruent Polygons, Classifying Triangles and Quadrilaters, and Angles and Polygons April 14, 2014 Find the sum of the measures of the interior angles for each of the polygons. Polygon Angle Sum = (n 2)180o (n = number of sides) Polygon Name Sum of Interior Sum of Interior Polygon Name Angles Angles Triangle Octagon Quadrilateral Nonagon Pentagon Decagon Hexagon Dodecagon Heptagon 18 Congruent Polygons, Classifying Triangles and Quadrilaters, and Angles and Polygons April 14, 2014 Regular Polygons 19 Congruent Polygons, Classifying Triangles and Quadrilaters, and Angles and Polygons April 14, 2014 How would we find the measure of one of the angles in a regular: Pentagon? Hexagon? Octagon? 20 Congruent Polygons, Classifying Triangles and Quadrilaters, and Angles and Polygons April 14, 2014 Exterior Angles. 21 Congruent Polygons, Classifying Triangles and Quadrilaters, and Angles and Polygons April 14, 2014 Exterior Angles. 22 Congruent Polygons, Classifying Triangles and Quadrilaters, and Angles and Polygons April 14, 2014 (x)o (x + 11)o (x 13)o (104)o 23
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