6th Grade Math Textbook, Progress

Find the number of triangles formed by the diagonals

from one vertex of each polygon.

1. heptagon 2. nonagon 3. quadrilateral 4. decagon


2. hexagon 6. octagon 7. 15-gon 8. 17-gon

Find the sum of the measures of the interior angles of each polygon.

9. decagon 10. hexagon 11.nonagon 12. heptagon


10. 11-gon 14. 18-gon 15.13-gon 16. 20-gon

Find the value of the variable in each polygon.

17. 
    
    
    
    18. 
        
        
        
        19. 
            
        
        
        
        
    
    
    
    


18. The measures of four interior angles
    of a pentagon are 115°, 92°, 107°,
    and 83°. Find the measure of the
    fifth interior angle.

21.Five interior angles of a hexagon each

have a measure of 110°. What is the

measure of the sixth interior angle?

A fractal is an endlessly repeating pattern containing shapes that are like

the whole but of different sizes throughout. You can build fractals from

plane figures by iteration, the process of repeating over and over again.

22. The figures below show a developing fractal from a square by
    repeating the iteration process two times. Look for a pattern and
    find the number of shaded squares that would be in stage 4.

T

S

R

V

W

X

Y

116 °

129 °

120 °

130 °

135 °

125 °

y°

P M

O

N

Q

117 ° 100 °

115 °

105 °

x° C

A B

E D

F

135 °

151 °

140 °

(n 
 6)°

62 °

n°

Stage 1 Stage 2 Stage 3

8206-2_350-351 3/17/06 10:40 PM Page 351