Construct a locus
- Read the distance rule.
- Set the compass accurately.
- Draw arcs or lines and keep construction marks.
Answer: Points equidistant from two points lie on the perpendicular bisector
📐 Geometry & Measures
Constructions
Learn constructions with a GCSE-style explanation, help guide, worked example, practice question and flashcards.
Global XP
Level 10 / 100 XP
1. Explanation
Key idea
- Constructions is part of geometry and appears often in KS3–GCSE maths.
- Loci are sets of points that follow a rule.
- Use the worked model, help guide, interactive question and flashcards to practise constructions until the steps feel automatic.
Real-life examples
- Shopping, sport, travel, science, design and everyday decisions all use this skill.
2. Visual
Constructions learning map
Understand the key idea → follow the help guide → practise a question → check your method → build speed with flashcards.
3. Help guide
How to tackle Constructions
- Learn the rule: Loci are sets of points that follow a rule.
- Worked model: Read the distance rule. Set the compass accurately. Draw arcs or lines and keep construction marks.
- Try the interactive question without looking at the answer first.
- Use the flashcards to test the rule, the method and a common check.
4. Worked examples
Step-by-step working
5. Interactive questions
Try it yourself
What tool is needed to draw points exactly 4 cm from A?
6. Flashcards
Master quick recall
Flip each card, then choose whether you know it or need more practice.
0 mastered
FrontRule for Constructions
BackLoci are sets of points that follow a rule.
FrontExample answer: What tool is needed to draw points exactly 4 cm from A?
BackA compass set to 4 cm draws the locus of points exactly 4 cm from A.
FrontCommon check for Constructions
BackCheck units/notation, compare with an estimate, and make sure the answer matches the question.
7. Finish
Complete this topic
When you have read the examples, tried the question and reviewed flashcards, claim your topic completion XP.