Transformations of Shapes: WJEC GCSE Intermediate June 2018 Unit 2 Q2

Intermediate June 2018 Unit 2 Q2

WJECIntermediateCurrent spec3 marksTransformations of Shapes

(a) The square drawn below has rotational symmetry of order 4.
Place two identical dots (●) on the square so that it will have rotational symmetry of order 2. [1]

(b) The regular hexagon drawn below has rotational symmetry of order 6.
Place three identical dots (●) on the regular hexagon so that it will have rotational symmetry of order 3. [1]

Regular hexagon divided into six triangles by its three main diagonals

(c) Which of the following shapes has rotational symmetry of order 3, but has no line symmetry?
Circle the correct shape. [1]

Five three-armed shapes: arms ending in circles; arms ending in triangles all pointing the same way round; arms ending in squares; arms ending in triangles pointing different ways; arms ending in pairs of triangles

Mark scheme (a)

Scheme	Marks	Comments
Two dots placed at suitable points to ensure rotational order 2.	B1	Mark correct intention. B0 if extra dots offered.

Mark scheme (b)

Scheme	Marks	Comments
Three dots placed at suitable points to ensure rotational order 3.	B1	Mark correct intention. B0 if extra dots offered.

The second shape: three arms each ending in a triangle, all pointing the same way round — Mark scheme (c)