Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. To show the solutions to a question about different kinds of symmetry. Objectives

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. For each of the following shapes find (a) the order of rotation and (b) the number of different lines of symmetry that shape has. (i) A regular pentagon (ii) An isosceles triangle with only two equal sides

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. (i) A regular pentagon First, draw the shape.

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. Next, think about the positions that point A could move to without changing how the shape looks. A (i) A regular pentagon

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. A 1 Next, think about the positions that point A could move to without changing how the shape looks. (i) A regular pentagon

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. A 2 Next, think about the positions that point A could move to without changing how the shape looks. (i) A regular pentagon

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. A 3 Next, think about the positions that point A could move to without changing how the shape looks. (i) A regular pentagon

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. A 4 Next, think about the positions that point A could move to without changing how the shape looks. (i) A regular pentagon

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. A 5 Next, think about the positions that point A could move to without changing how the shape looks. (i) A regular pentagon

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. Once the point A returns to its original position we will find that we know the order of rotational symmetry, which is 5 in this case. A 5 (i) A regular pentagon

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. Lines of symmetry there are 5. (i) A regular pentagon

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. (ii) An isosceles triangle with only two equal sides First, draw the shape.

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. Rotating the shape doesn’t seem to make it look the same (ii) An isosceles triangle with only two equal sides

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. Rotating the shape doesn’t seem to make it look the same (ii) An isosceles triangle with only two equal sides

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. Rotating the shape doesn’t seem to make it look the same (ii) An isosceles triangle with only two equal sides

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. Rotating the shape doesn’t seem to make it look the same (ii) An isosceles triangle with only two equal sides

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. Rotating the shape doesn’t seem to make it look the same (ii) An isosceles triangle with only two equal sides

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. Rotating the shape doesn’t seem to make it look the same (ii) An isosceles triangle with only two equal sides

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. Rotating the shape doesn’t seem to make it look the same (ii) An isosceles triangle with only two equal sides

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. Rotating the shape doesn’t seem to make it look the same (ii) An isosceles triangle with only two equal sides

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. Rotating the shape doesn’t seem to make it look the same (ii) An isosceles triangle with only two equal sides

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. Rotating the shape doesn’t seem to make it look the same (ii) An isosceles triangle with only two equal sides

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. Until you get back to where you started. There is no rotational symmetry. (ii) An isosceles triangle with only two equal sides

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. There is one line of symmetry. (ii) An isosceles triangle with only two equal sides

Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. Firstly draw a sketch of the shape in question. Summary Try tracing the shape and rotating your drawing to see how many time it fits onto itself in one turn. Draw the lines of symmetry, taking care not to count the same one twice.