This document discusses geometric transformations including lines of symmetry, rotational symmetry, enlargements, and finding the scale factor and center of enlargement. Lines of symmetry and orders of rotational symmetry are identified for different shapes. Enlargements are performed using given scale factors and centers. The ratio of areas for different enlargements is calculated. Scale factors and centers of enlargement are determined for shapes.

1. Unit 36
Constructions and Enlargements
Presentation 1 Lines of Symmetry
Presentation 2 Order of Rotational Symmetry
Presentation 3 Enlargements
Presentation 4 Finding the Scale Factor and Centre of Enlargement

2. Unit 36
36.1 Lines of Symmetry

3. Draw on each diagram all its lines of symmetry

4. Complete the diagrams so that each shape has only the
lines of symmetry shown by the dotted line

5. Unit 36
36.3 Order of Rotational
Symmetry

6. What is the order of rotational symmetry?
2
3 1 or none
2
?
?
? ?

7. Complete the diagrams below so that they have the given
rotational symmetry about the point.
Order 2
Order 4
Order 4
Order 3

8. Unit 36
36.3 Enlargements

9. Enlarge this shape using the given centre of enlargement
and scale factors:
(a) 2 (b) 3
What is the ratio of the areas in each case?
(a) 4 (b) 9??

10. Unit 36
36.4 Finding the Scale Factor
and Centre of Enlargement

11. For each of the shapes give the scale factor and mark the centre of enlargement.
(a) 2 (b) 2
(c) 1.5 (d) 2.5??
??