1. a. Sketch a diagram of a hexagon.

b. What is the sum of the exterior angles.

c. If the hexagon were regular, what would be the size of each:

(i) Exterior angle
(ii) Interior angle

2. Fill in the gaps:

Name of polygon
Diagram
Size of each exterior angle
Pentagon
   
 
Y7_More_Geometry_ex_01.gif
 
   
45o

3. The diagram shows a regular four-sided polygon (a square).

 

a. What is the sum of the exterior angles?

b. What is the size of each:

(i) Exterior angle
(ii) Interior angle?

Y7_More_Geometry_ex_02.gif

4. The exterior angles of a regular polygon are each 36°.

How many sides has the polygon?

5. Give the true bearings that are equvalent to these compass bearings.

a. NW

b. S45°E

c. N70°E

d. S40°W

e. SE

6. Give the compass bearings that are equivalent to these true bearings.

a. 090°

b. 180°

c. 330°

d. 270°

e. 085°

7. Find the size of angles marked by letters and give reasons.

a
b
Y7_More_Geometry_ex_03.gif
Y7_More_Geometry_ex_04.gif
c
d
Y7_More_Geometry_ex_05.gif
Y7_More_Geometry_ex_06.gif
e
f
Y7_More_Geometry_ex_07.gif

For experts!

 

Y7_More_Geometry_ex_08.gif