Chapter 2: Angle relationships and properties of geometrical figures Notes

Parallel line angle facts, the angle sum and exterior angle of a triangle, types and properties of quadrilaterals, angle sums of polygons, and Euler's formula for solids.

Sections

  1. 2A Angles and parallel lines Mastered

    Review of angle facts and parallel lines: corresponding, alternate and co-interior angles, with multi-step problems and reasons.

  2. 2B Triangles Mastered

    Classifying triangles by sides and angles, the angle sum of a triangle, the exterior angle theorem and properties of isosceles and equilateral triangles.

  3. 2C Quadrilaterals Mastered

    Properties of parallelograms, rectangles, rhombuses, squares, trapeziums and kites, and the angle sum of a quadrilateral.

  4. 2D Polygons and their angle sums Mastered

    Naming polygons, convex and non-convex polygons, the angle sum formula (n − 2) × 180°, interior and exterior angles of regular polygons.

  5. 2E Three-dimensional solids and Euler's formula Mastered

    Prisms, pyramids and other polyhedra, counting faces, vertices and edges, and Euler's formula F + V − E = 2.

Formula sheet