Problems in three dimensions (AQA GCSE Further Maths): Quizzes

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Problems in three dimensions
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What three dimensions do 3D geometry problems involve?

Length, width, and height

Which techniques are needed to solve 3D geometry problems?

Trigonometry, Pythagoras, geometry

What is the most effective approach to solving 3D problems?

Breaking them into 2D calculations

What are great circle routes?

Shortest distance on Earth's surface

How do great circle routes appear on flat map projections?

Curved

In isometric projection, how should east-west lines be drawn?

As straight horizontal lines

How should hidden edges be shown in isometric projection?

As dotted lines

In isometric projection, how are north-south lines drawn?

With a slope (typically 30°)

Why don't right angles always appear as 90°90° in 3D views?

They can appear distorted

Why are true shape diagrams necessary?

Right angles appear distorted in 3D

What must appear as genuine 90°90° angles in true shape diagrams?

Right angles

What is a common trap when using 3D views for calculations?

Using distorted angles

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