3. The figure shows a regular hexagon.
How many parallelograms are there in the figure?
A 2
B 4
C 6
D 8
E more than 8
SolUTion
C
The parallelograms in the figure are made up from pairs of adjacent triangles. Therefore there are six parallelograms in the figure, as shown in the diagrams below.

FOR INVESTIGATION
3.1 The figure on the right shows a regular hexagon divided into 24 congruent equilateral triangles.
How many parallelograms are there in the figure?