AQA · Mathematics · 8300
GCSE Maths: Constructions: loci part 3
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Constructions: loci part 3 (Corbettmaths Video 77), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.
7 flashcards · Free to study · No account needed
Study this deck
Preparing your cards…
All questions and answers
Read through the full deck, or practise recalling each answer above.
What shape is the locus of all points a fixed distance from a straight line?
Show answer
Two parallel lines on either side of the original line, with semicircles at each end (a racetrack or stadium shape).
What shape is the locus of all points a fixed distance from a single point?
Show answer
A circle with the point as its centre and the fixed distance as the radius.
What is the locus of all points equidistant from two given points?
Show answer
The perpendicular bisector of the line segment joining the two points.
What is the locus of all points equidistant from two intersecting straight lines?
Show answer
The pair of angle bisectors of the angles formed by the two lines.
What is the difference between 'within X metres' and 'exactly X metres' in a loci problem?
Show answer
'Within X metres' is the interior of a circle (or disc) of radius X; 'exactly X metres' is just the circle itself (the boundary).
In a loci construction problem involving 'between X and Y distance from a point', what shape represents the solution region?
Show answer
An annulus (ring shape) – the region between two concentric circles with radii X and Y.
How do you find the region closer to line AD than to line AB in a loci problem?
Show answer
Draw the angle bisector of the angle between AD and AB; the region closer to AD is on the AD side of the bisector.
Want to create your own cards? Create a free account. AI generation uses credits.