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Mathematics 0580

4. Geometry

Angles, polygons, circle theorems, similarity, congruence and constructions.

  1. 4.1

    Angles and polygons

    Angle rules, parallel lines, and the angles in polygons.

    Full lesson1 questions6 cards
    • 4.1.1Use angle properties of lines, triangles, quadrilaterals and parallel lines.
    • 4.1.2Calculate interior and exterior angles of regular and irregular polygons.
  2. 4.2

    Circle theorems

    The angle rules in circles, and how to justify them.

    Full lesson2 questions6 cardsSimulationReview first: 4.1
    • 4.2.1Use circle theorems to calculate angles and give reasons.
  3. 4.3

    Similarity and congruence

    Similar shapes, scale factors for area and volume, and congruence conditions.

    Full lesson2 questions6 cardsReview first: 4.1
    • 4.3.1Use similarity to find lengths, and apply area and volume scale factors.
    • 4.3.2Identify congruent triangles using the standard conditions.
  4. 4.4

    Constructions, loci, bearings and symmetry

    Ruler-and-compass constructions, describing positions, and symmetry.

    Full lesson1 questions6 cardsReview first: 4.1
    • 4.4.1Carry out standard constructions and use loci to describe regions.
    • 4.4.2Use three-figure bearings and describe symmetry properties.