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Scale Factors and Centres of Enlargement (B) WORKSHEET

Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 6-7
Prerequisite knowledge: Enlargement from the centre of enlargement using positive integer and fractional scale factors.
Learning Objective: Draw enlargements of shapes by a given negative scale factor from a centre of enlargment (includes fractional scale factors)

Scale Factors and Centres of Enlargement (B) WORKSHEET DESCRIPTION

Introduce your learners to enlargements by negative scale factors with this worksheet. Here there are six objects to enlarge by three different scale factors: -1, -2 and -1⁄2. The orientation of centres of enlargement varies, as do the polygons themselves. Objects include right-angled and isosceles triangles, a trapezium, parallelogram, arrowhead and arrow shape and are all translucent to aid students' transformations.

Using column vectors or rays of enlargement may help students when beginning to enlarge using negative scale factors. Ensure learners are equipped with a pencil and ruler to complete their transformations.

All worksheets are created by the team of experienced teachers at Cazoom Maths.

Frequently Asked Questions

Students should already be comfortable with enlargement from a centre using positive integer and fractional scale factors before tackling negative scale factors. This foundation is essential because negative scale factor enlargements build upon the same principles, but add the complexity of orientation changes. Without this prerequisite knowledge, learners may struggle to understand how the transformations work.