What this topic covers
Topic 4: Geometry and Trigonometry has 5 subtopics:
- Angles, Lines and Polygons
- Constructions, Loci and Coordinates
- Measures, Scale and Mensuration
- Pythagoras and Trigonometry
- Circles and 3D Geometry
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IGCSE Edexcel Higher Maths · Topic 8 of 12
Topic 4: Geometry and Trigonometry – IGCSE Edexcel Higher Maths revision notes
Choose a subtopic. IGCSE Mathematics A Topic 4: Geometry and Trigonometry. 36 lessons in 5 subtopics.
Revise Topic 4: Geometry and Trigonometry for IGCSE Edexcel Higher Maths, including Angles, Lines and Polygons and Constructions, Loci and Coordinates.
36
Lessons
5
Subtopics
Topic 4: Geometry and Trigonometry lessons by subtopic
36 lessons, grouped by subtopic.
Angles, Lines and Polygons
- Geometric Language and Notation
- Triangle Labelling and Drawing Diagrams
- Angles on Parallel Lines
- Angle Sums in Polygons
- Angles at Points and on Lines
- Properties of Special Quadrilaterals
- Properties of Triangles and Other Plane Figures
- Triangle Congruence Criteria
- Angle Facts and Properties
- Congruence, Similarity and Geometric Proofs
Constructions, Loci and Coordinates
- Basic Ruler and Compass Constructions
- Loci Problems and Geometric Constructions
- Solving Problems on Coordinate Axes
Measures, Scale and Mensuration
- Standard Units of Measure
- Measuring in Geometric Figures and Scale Drawings
- Areas of 2D Shapes
- Volumes of 3D Shapes
- Circumference from Radius and Diameter
- Area of Circles and Composite Figures
- Arc Length and Sector Area
- Circle Area and Circumference
- Congruence, Similarity and Scale Factors
- Scale Factors in Similar Figures
Pythagoras and Trigonometry
- 2D and 3D Trigonometric Problem Solving
- Pythagoras and Trigonometry in Right-Angled Triangles
- Pythagoras and Trigonometry in 2D Figures
- Exact Values of Trigonometric Ratios
- Sine, Cosine and Tangent Ratios
- Solving Triangles with the Cosine Rule
- Solving Triangles with the Sine Rule
- Triangle Area Calculations
Circles and 3D Geometry
More in this course
Go back to the full IGCSE Edexcel Higher Maths topic list, or practise this topic with past-paper questions.
Frequently asked questions
What is Topic 4: Geometry and Trigonometry?
IGCSE Mathematics A Topic 4: Geometry and Trigonometry. 36 lessons in 5 subtopics.
How many kilograms are in a tonne?
There are 1000 kg in 1 tonne, just as there are 1000 g in 1 kg and 1000 mg in 1 g. The Standard Units of Measure notes cover this in full.
What are the exact trig values?
sin 0° = 0, sin 30° = 1/2, sin 45° = √2/2, sin 60° = √3/2 and sin 90° = 1, while cos 0° = 1, cos 30° = √3/2, cos 45° = √2/2, cos 60° = 1/2 and cos 90° = 0. The Exact Values of Trigonometric Ratios notes cover this in full.
What is the formula for the area of a triangle?
The area of a triangle is A = 1/2 × base × perpendicular height, because a triangle is exactly half a parallelogram. The Areas of 2D Shapes notes cover this in full.
What are corresponding angles?
Corresponding angles are on the same side of a transversal, one at each parallel line, in matching positions, and they are equal. The Angles on Parallel Lines notes cover this in full.
How do you find the volume of a prism?
The volume of a right prism is the area of the cross-section × length. The Volumes of 3D Shapes notes cover this in full.
What is pi?
π is the constant ratio between a circle's circumference and its diameter, approximately 3.14159, and it is the same for every circle. The Circumference from Radius and Diameter notes cover this in full.
How do you find the arc length of a sector?
Arc length = θ/360 × 2πr, because a sector is the fraction θ/360 of a full circle. The Arc Length and Sector Area notes cover this in full.
How do you find the volume of a cuboid?
The volume of a cuboid is length × width × height. The Volumes of 3D Shapes notes cover this in full.