Geometry & Shapes

Angles in Polygons

Angle Facts for Lines - Angles on a straight line add up to - Angles around a point add up to - Vertically opposite angles are equal Angle Facts for P...

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Pythagoras' Theorem

Pythagoras' theorem connects the three sides of a right-angled triangle. where is the hypotenuse (the longest side, opposite the right angle) and , ar...

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Trigonometry: SOH CAH TOA

Trigonometry uses ratios to find missing sides and angles in right-angled triangles. The Three Ratios SOH CAH TOA Sin = Opposite / Hypotenuse Cos = Ad...

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Area and Volume

Area Formulas Rectangle: Triangle: Parallelogram: Trapezium: Circle: Volume Formulas Cuboid: Prism: Cylinder: Cone: (Higher) Sphere: (Higher) Pyramid:...

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Transformations

A transformation changes the position or size of a shape. There are four types you need to know. 1. Reflection A reflection creates a mirror image acr...

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Circle Theorems H

Circle theorems are rules about angles and lines in circles. Higher tier only. Key Vocabulary - Chord: A line segment with both endpoints on the circl...

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Bearings

A bearing is a way of describing direction using angles. How Bearings Work Three rules for bearings: 1. Always measure from North 2. Always measure cl...

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Similarity and Congruence

Congruent Shapes Shapes are congruent if they are exactly the same — same shape and same size. Congruent shapes can be reflected or rotated versions o...

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Vectors H

A vector describes a movement with both direction and magnitude (length). Notation Vectors can be written as: - Bold letter: - Underlined letter: (use...

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Non-Right Angled Trigonometry H

When triangles don't have a right angle, we need different tools: the Sine Rule, the Cosine Rule, and the Area Formula. Labelling Convention In any tr...

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Arcs and Sectors

A sector is a "pizza slice" of a circle. An arc is a portion of the circumference. Key Vocabulary - Sector: The region bounded by two radii and an arc...

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