By what minimum angle does a regular hexagon rotate so as to coincide with its original position for the first time?

Construct an obtuse angled triangle which has a base of 5.5 cm and base angles of 30° and 120°.

Construct an equilateral triangle ABC of side 6 cm.

In each of the following figures, write the number of lines of symmetry and order of rotational symmetry.

[Hint: Consider these as 2-D figures not as 3-D objects.]

In the figure 12.24 of a cube,

i. Which edge is the intersection of faces EFGH and EFBA?

ii. Which faces intersect at edge FB?

iii. Which three faces form the vertex A?

iv. Which vertex is formed by the faces ABCD, ADHE and CDHG?

v. Give all the edges that are parallel to edge AB.

vi. Give the edges that are neither parallel nor perpendicular to edge BC.

vii. Give all the edges that are perpendicular to edge AB.

viii. Give four vertices that do not all lie in one plane.