# Geometry

# Basic Elements of Geometry

- Understanding the concept of
**points**. A point is the most basic geometric element and represents a position. - An understanding of a
**line**is vital. It is defined as a series of points that continues indefinitely in both directions. - Know what a
**plane**is, which is a flat surface extending infinitely in all directions. - Familiarising yourself with
**line segments**and**rays**. A line segment is a portion of a line, bounded by two endpoints. A ray has one endpoint and continues indefinitely in one direction. **Endpoints**are the points where a line or line segment starts or ends.- Knowing the distinction between
**parallel lines**and**intersecting lines**. Parallel lines are lines in the same plane that will never meet. Intersecting lines are lines that cross at a single point.

# Shapes and Solids

- Understanding
**circles**. A circle is made up of set of all points in a plane that are at a given distance from a single point known as the centre. - Know what a
**polygon**is, a 2D shape formed by straight lines. - Understanding different types of polygons, such as
**triangles**,**quadrilaterals**,**pentagons**, and**hexagons**. - Familiarisation with
**spheres**,**cubes**,**cylinders**, and**cones**.

# Properties

- Identify various properties including
**length**,**perimeter**,**area**, and**volume**. - Knowing how to calculate these properties for various shapes and solids.

# Position and Movement

- Understanding how to measure
**angles**. - Knowing the
**types of angles**: acute, right, obtuse, straight, reflex and complete. - Identify and understand
**rotation**,**reflexion**,**translation**, and**enlargement**. - Know how to use the
**distance and midpoint formulas**. - Interpretation and application of
**scale factors**and**scale drawings**.

# Pythagoras’ Theorem and Trigonometry

- Familiarity with the
**Pythagoras’ Theorem**and its application in finding lengths in right-angled triangles. - Understanding of
**trigonometric ratios**: sine, cosine, and tangent. - Application of trigonometric ratios to find lengths and angles in right-angled triangles.
- Understanding of the concept and application of
**exact trigonometric ratios**.