# Volume

## Volume

# 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.

**Triangles and Quadrilaterals**

- 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!