AQA · Mathematics · 8300
GCSE Maths: Constructions: loci part 1
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Constructions: loci part 1 (Corbettmaths Video 75), 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 is the locus of all points a fixed distance from a given line?
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Two parallel lines, one on each side of the given line, at the fixed distance from it.
What is the locus of all points a fixed distance from a single point?
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A circle centered at that point, with radius equal to the fixed distance.
What is the locus of all points equidistant from two given points?
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The perpendicular bisector of the line segment joining the two points.
What is the locus of all points equidistant from two given lines?
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The angle bisector of the angle formed by the two lines.
When constructing an angle bisector with ruler and compasses, what must you show on the diagram?
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The construction arcs used to create the bisector.
If a point must be exactly a certain distance from two different locations, where does it lie?
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At the intersection of two circles, each centered at one location with radius equal to the respective distance.
If a point is closer to point A than to point C, on which side of the perpendicular bisector of AC does it lie?
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On the side of the perpendicular bisector that contains point A.
How do you represent the region of points between 8 and 12 miles from a fixed point?
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As an annulus (ring shape) — the area between two concentric circles of radius 8 and 12 miles centered at that point.
If a region is closer to line AD than to line AB, on which side of the angle bisector does it lie?
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On the side of the angle bisector that contains line AD.
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