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Geometry: 2D Shapes & Angles

Geometry: 2D shapes and angles involves understanding the properties of flat shapes and how angles work. This knowledge helps you solve problems involving shape identification, perimeter, area, and angle calculations.

🔹 2D shapes (two-dimensional shapes) are flat shapes with length and width but no thickness.

Common 2D shapes and their properties:

  • Triangle – 3 sides; internal angles always add up to 180°.
  • Quadrilateral – 4 sides; internal angles always add up to 360°.
  • Square – 4 equal sides and 4 right angles (90°).
  • Rectangle – 2 pairs of equal parallel sides and 4 right angles.
  • Circle – A perfectly round shape where every point on the edge is the same distance from the centre.

📐 Angles measure the amount of turn between two lines that meet at a point (vertex). Angles are measured in degrees (°).

Types of angles:

[Image of different types of angles: acute, right, obtuse, straight, and reflex]
  • Acute – Less than 90°
  • Right angle – Exactly 90° (marked with a square corner)
  • Obtuse – Greater than 90° but less than 180°
  • Straight angle – Exactly 180° (a straight line)
  • Reflex – Greater than 180° but less than 360°
Key Angle Facts:
  • • Angles on a straight line add up to 180°.
  • • Angles around a point add up to 360°.
  • • Vertically opposite angles are equal.

✅ Knowing the properties of 2D shapes and how to work with angles is essential for solving geometry questions confidently.

Practice Papers

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