What this topic covers
Geometry and measures has 3 subtopics:
- Properties and constructions
- Mensuration and calculation
- Vectors
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GCSE Edexcel Higher Maths · Topic 4 of 6
Geometry and measures – GCSE Edexcel Higher Maths revision notes
Choose a subtopic. Geometry and measures covers Properties and constructions, Mensuration and calculation, and Vectors in GCSE Edexcel Higher Maths. 42 lessons in 3 subtopics.
Revise Geometry and measures for GCSE Edexcel Higher Maths, including Properties and constructions, Mensuration and calculation, and Vectors.
42
Lessons
3
Subtopics
Geometry and measures lessons by subtopic
42 lessons, grouped by subtopic.
Properties and constructions
- Geometric Language and Notation
- Triangle Labelling and Drawing Diagrams
- Basic Ruler and Compass Constructions
- Loci Problems and Geometric Constructions
- 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
- Transformations and Similar Shapes
- Basic Transformations
- Combined Transformations and Invariance
- Circle Definitions and Properties
- Circle Theorems and Geometric Proof
- Using Circle Theorems to Find Angles
- Solving Problems on Coordinate Axes
- Properties of 3D Shapes
- Reading Plans and Elevations of 3D Shapes
Mensuration and calculation
- 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
- 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
Vectors
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Frequently asked questions
What is Geometry and measures?
Geometry and measures covers Properties and constructions, Mensuration and calculation, and Vectors in GCSE Edexcel Higher Maths. 42 lessons in 3 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.