Learning objective
[Foundation and Higher] Know that perpendicular distance from a point to a line is the shortest distance to the line.
Read the explanation, check the common trap, then practise with flashcards and questions.
At a glance
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Flashcards
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Questions
Topic
Properties and constructions
Subtopic
Constructions and loci
Study support
Understand this objective
Quick explanation
[Foundation and Higher] Know that perpendicular distance from a point to a line is the shortest distance to the line
- This point belongs to Properties and constructions, especially Constructions and loci.
- You need to be able to [Foundation and Higher] Know that perpendicular distance from a point to a line is the shortest distance to the line.
- The key ideas to know are shortest distance.
- Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.
Key concepts
Why it matters
This objective helps connect Constructions and loci to exam-style questions, flashcards, and revision notes for Properties and constructions.
Quick student answer
How do you approach [Foundation and Higher] Know that perpendicular distance from a point to a line is the shortest distance to the line in maths questions?
Direct answer
For Maths, this page helps you practise [Foundation and Higher] Know that perpendicular distance from a point to a line is the shortest distance to the line in Properties and constructions. Focus on the method, any formula or representation, careful working, and the final answer in the form the question asks for. Key terms to check are shortest distance.
Key terms
- shortest distance: shortest distance is a method cue for Constructions and loci. Use it when working on "[Foundation and Higher] Know that perpendicular distance from a point to a line is the shortest distance to the line." and state the specific calculation, notation, or reasoning role it plays rather than treating it as a loose label.
Common trap
Constructions and loci common mistake 1: Show the method first, then give the final answer in the required form. Apply this directly to Constructions and loci.
Related questions
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Question 1 of 4
Choose an answer, get feedback, then move sideways through the set.
Flashcard prompts
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Flashcard 1 of 4
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Revision tools
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Flashcards0 linked cards
Practice Questions0 linked questions
Revision notestopic notes
Open the full topic revision notes when you are ready to review this objective in context.
Open revision notesRelated learning objectives
- [Foundation and Higher] Use conventional geometric terms and notation for points, lines, vertices, edges, planes, angles, polygons and symmetries.
Geometric terms and notation
- [Foundation and Higher] Use standard conventions for triangle sides and angles and draw diagrams from written descriptions.
Geometric terms and notation
- [Foundation and Higher] Use standard ruler and compass constructions, including perpendicular bisectors, perpendiculars and angle bisectors.
Constructions and loci
- [Foundation and Higher] Use constructions to construct figures and solve loci problems.
Constructions and loci
- [Foundation and Higher] Apply angle facts at a point, on a straight line and for vertically opposite angles.
Angle facts