1. ANGLES OF POLYGONS

2. POLYGONS
NOT POLYGONS

3. CONCAVE
ON A PEGBOARD, A RUBBER BAND WILL COPY THE CONVEX SHAPE
CONVEX

4. NAMES OF POLYGONS SIDES TRIANGLE 3 QUADRILATERAL 4 PENTAGON 5
HEXAGON
HEPTAGON
OCTAGON
NONAGON
DECAGON
DODECAGON
N – GON N

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

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

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

8. IF N IS THE NUMBER OF SIDES THEN:
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. N EACH INTERIOR ANGLE OF A REGULAR POLYGON = (N – 2 ) 180
REMEMBER N = NUMBER OF SIDES

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

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

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

15. NAME Octagon
# SIDES ____8________
INT ANGLE SUM x 180 = 1080°
EACH INT ANGLE / 8 = 135° EXT ANGLE SUM °
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
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 °
EACH EXT ANGLE 60