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
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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.
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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.
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2C Quadrilaterals Mastered
Properties of parallelograms, rectangles, rhombuses, squares, trapeziums and kites, and the angle sum of a quadrilateral.
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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.
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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.
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