AQA · Mathematics · 8300
GCSE Maths: Constructions: loci part 2
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Constructions: loci part 2 (Corbettmaths Video 76), 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.
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What shape is the locus of points at a fixed distance from a single point?
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A circle.
What shape is the locus of points at a fixed distance from a straight line?
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Two parallel lines, one on each side of the original line.
What is the locus of points equidistant from two fixed points?
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The perpendicular bisector of the line segment joining the two points.
What is the locus of points equidistant from two intersecting lines?
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The pair of lines that bisect the angles between the two given lines.
When constructing a locus problem involving a region 'closer to line AB than line CD', which geometric construction is needed?
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The angle bisector between the two lines.
In a locus problem, what region represents points 'less than d from point P'?
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The interior of a circle with center P and radius d.
In a locus problem, what region represents points 'between distance a and distance b from point P'?
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The region between two concentric circles centered at P with radii a and b.
In a locus problem, what does the phrase 'closer to point A than point C' mean geometrically?
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All points on one side of the perpendicular bisector of the line segment AC.
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