Geometrical properties of Euclidean space, as listed below
*In solving any problem or rider, students may use any knowledge they possess
Solutions may be by traditional methods (e .g. congruent triangles), vectors, the use of transformations such as translation, reflection, rotation and enlargement, or a mixture of these
Formal proofs of theorems will not be required*
Geometrical reasoning
Angle properties of parallel lines, triangles and polygons, including regular polygons
*Angles on a straight line, angles around a point
Angles measured anticlockwise will be taken as positive; clockwise as negative*
Properties of the parallelogram, rectangle, square, rhombus, trapezium and kite
Symmetry about a point, line or plane
*Recognise line and rotational symmetry
Complete shapes with a given axis of symmetry and order of rotational symmetry*
Use of Pythagoras’ theorem in 2D and 3D
*Including its use in any acute-angled triangle where an altitude is given or constructed
The angle bisector theorems are excluded*
Similarity: areas and volumes of similar figures
Understanding how scale factors are related to area and volume
Prove the similarity of two triangles
Congruent shapes
Understand and use SSS, SAS, ASA and RHS conditions to prove the congruence of triangles
Chord, angle and tangent properties of circles
To include knowledge of the intersecting chord properties (both internal and external) and the alternate segment theorem
Properties of a cyclic quadrilateral
Loci in two dimensions
‘Tracing paper’ methods will not be acceptable
Constructions of bisector of an angle and of perpendicular bisector (mediator) of a straight line
Constructions using only ruler and compasses