Geometry and measures

    AQA
    GCSE

    Geometry and Measures encompasses the study of properties, dimensions, and relationships of points, lines, surfaces, and solids. This topic integrates the calculation of perimeter, area, and volume with the rigorous application of geometric reasoning, including angle facts, circle theorems, and trigonometric ratios. It extends to the manipulation of shapes through transformations and vectors, requiring students to transition fluently between visual representations and algebraic or numerical solutions.

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    Objectives
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    Exam Tips
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    Pitfalls
    7
    Key Terms
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    Mark Points

    Learning Objectives

    What you need to know and understand

    • Use conventional terms and notations for points, lines, vertices, edges, planes, etc.
    • Use standard ruler and compass constructions; solve loci problems
    • Apply angle facts, triangle congruence, similarity and properties of quadrilaterals
    • Identify, describe and construct congruent and similar shapes, including rotations, reflections, translations and enlargements
    • Use circle theorems to prove and derive results
    • Know and apply formulae to calculate area and volume of various shapes
    • Calculate arc lengths, angles and areas of sectors of circles
    • Know and apply Pythagoras' theorem and trigonometric ratios in right-angled triangles
    • Know and apply the sine rule, cosine rule and area formula for any triangle

    Key Terminology

    Essential terms to know

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