# geometry

Transformations can change the position, size and orientation of a shape on the coordinate axes.

Translations

Reflections

Enlargements

Enlargements: Negative Scale Factors

Rotations

Combined Transformations

Angles around a point and on a straight line have rules which we can use to find unknown angles.

Polygons include all shapes with more than three straight sides.

We need to be able to draw shapes using a compass and a ruler, and recognise how to construct particular geometrical objects.

Shapes can be similar if they are proportional to each other.

Circles have been studied for centuries, and have lots of interesting geometrical rules that we can use to find out unknown information.

Circle Theorems: Angle in a semi-circle

Circle Theorems: Angle at the centre

Circle Theorems: Cyclic Quadrilateral

Circle Theorems: Same Segment

Circle Theorems: Alternate Segment

Area of Circles

Arc Length

We can measure the properties of shapes in both 2 and 3 dimensions.

Vectors are quantities which contain both size and direction, and describes movements from one place to another.

The principles we have learned extend to 3D shapes, and we can use some of them to find out unknown information.

Trigonometry is the study of relationships in the lengths and angles of a triangle, which originated in the study of astronomical formations.