# Geometry

Angles and Lines

• Understand and use various types of angles: acute, right, obtuse, straight, reflex, and full rotation.
• Understand and apply angle facts: vertically opposite, corresponding, alternate and co-interior angles.
• Recognize and use properties of parallel and intersecting lines.

• Recognize various types of triangles and their properties: equilateral, isosceles, scalene, right-angled.
• Understand properties of quadrilaterals: trapezium, parallelogram, rectangle, square, rhombus.
• Apply Pythagoras theorem and trigonometric ratios to solve problems in right-angled triangles.

Circle Properties

• Understand and use properties of a circle, including radius, diameter, circumference, and area.
• Be familiar with segments, sectors, chords, tangents, and arcs.

# Transformational Geometry

Coordinate Geometry

• Understand how to plot points and draw graphs on the coordinate plane.
• Recognize and use the equation of a line, y = mx + c.
• Apply gradient and intercept information to solve problems.

Transformations

• Understand and apply the four types of transformations: translation, rotation, reflexion, and enlargement.
• Use transformation matrices for reflexion, rotation, and enlargement.
• Apply combined transformations.

Similarity and Congruence

• Understand the comparison between similar and congruent shapes.
• Apply the conditions for triangles to be similar or congruent.
• Use the properties of similar shapes to solve problems. Remember that similar shapes are proportional in all corresponding parts.

# Measures and Construction

Areas and Volumes

• Calculate the area of triangles, rectangles, and compound shapes.
• Calculate the volume of shapes such as cubes, cuboids, prisms, cylinders, pyramids, and spheres.
• Use the concept of volume and surface area interchangeably.

Arcs and Sectors

• Be able to compute the length of an arc using the formula, arc length = 2πr (θ/360), where r is the radius and θ is the angle of the sector.
• Apply formula to calculate area of sector: Area = πr² (θ/360).
• Solve problems involving sectors and segments.

Remember, practise makes perfect. The more you practise, the more confident you will feel with these topics!