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ANGLES OF POLYGONS

ANGLES OF POLYGONS. SECTION 8-1. JIM SMITH JCHS. POLYGONS. NOT POLYGONS. CONCAVE. CONVEX. TRY THE PEGBOARD AND RUBBER BAND TEST. NAMES OF POLYGONS. SIDES TRIANGLE 3 QUADRILATERAL 4 PENTAGON 5 HEXAGON 6

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ANGLES OF POLYGONS

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  1. ANGLESOFPOLYGONS SECTION 8-1 JIM SMITH JCHS

  2. POLYGONS NOT POLYGONS

  3. CONCAVE CONVEX TRY THE PEGBOARD AND RUBBER BAND TEST

  4. NAMES OF POLYGONS SIDES TRIANGLE 3 QUADRILATERAL 4 PENTAGON 5 HEXAGON 6 HEPTAGON 7 OCTAGON 8 NONAGON 9 DECAGON 10 DODECAGON 12 N – GON N SEE PAGE 46 IN TEXTBOOK

  5. INTERIOR ANGLE SUM OF CONVEX POLYGONS FIND THE NUMBER OF TRIANGLES FORMED BY DIAGONALS FROM ONE VERTEX 6 SIDES = 4 TRIANGLES

  6. INTERIOR ANGLE SUM FIND THE NUMBER OF TRIANGLES FORMED BY DIAGONALS FROM ONE VERTEX 4 SIDES = 2 TRIANGLES

  7. INTERIOR ANGLE SUM FIND THE NUMBER OF TRIANGLES FORMED BY DIAGONALS FROM ONE VERTEX 8 SIDES = 6 TRIANGLES

  8. INTERIOR ANGLE SUM EACH TRIANGLE HAS 180° IF N IS THE NUMBER OF SIDES THEN: INT ANGLE SUM = (N – 2 ) 180°

  9. 2 3 1 4 5 INT ANGLE SUM = ( 5 – 2 ) 180° ( 3 ) 180° = 540°

  10. REGULAR POLYGONS REGULAR POLYGONS HAVE EQUAL SIDES AND EQUAL ANGLES SO WE CAN FIND THE MEASURE OF EACH INTERIOR ANGLE

  11. EACH INTERIOR ANGLE OF A REGULAR POLYGON = (N – 2 ) 180 N REMEMBER N = NUMBER OF SIDES

  12. REGULAR HEXAGON INT ANGLE SUM = (6 – 2 ) 180 =720° EACH INT ANGLE = 720 = 120° 6

  13. EXTERIOR ANGLE SUM EXTERIOR ANGLE THE MEASURE OF EACH EXTERIOR ANGLE OF A REGULAR POLYGON IS 360° N ALL POLYGONS HAVE AN EXTERIOR ANGLE SUM OF 360°

  14. NAME ____________ # SIDES ____8________ INT ANGLE SUM _________ EACH INT ANGLE _________ EXT ANGLE SUM _________ EACH EXT ANGLE _________

  15. NAME Octagon # SIDES ____8________ INT ANGLE SUM 6 x 180 =1080° EACH INT ANGLE 1080 / 8 =135° EXT ANGLE SUM 360° EACH EXT ANGLE 360 / 8 =45°

  16. NAME DECAGON # SIDES ____________ INT ANGLE SUM _________ EACH INT ANGLE _________ EXT ANGLE SUM _________ EACH EXT ANGLE _________

  17. NAME DECAGON # SIDES 10 INT ANGLE SUM 8 x 180 = 1440° EACH INT ANGLE 1440 / 10 = 144° EXT ANGLE SUM 360° EACH EXT ANGLE 360 / 10 = 36°

  18. NAME ____________ # SIDES ____________ INT ANGLE SUM _________ EACH INT ANGLE _________ EXT ANGLE SUM _________ EACH EXT ANGLE 60______

  19. NAME HEXAGON # SIDES 360 / 60 = 6 INT ANGLE SUM (6-2) X 180 = 720° EACH INT ANGLE 720 / 6 = 120° EXT ANGLE SUM 360° EACH EXT ANGLE 60

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