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°
- • 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.
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