Flashcards · Maths · Vectors, Constructions and Loci
Loci
-
What is a locus?
The set of all points that follow a rule.
-
What is the plural of locus?
Loci.
-
What is the locus of points a fixed distance from a point?
A circle with that point as centre.
-
What is the locus of points a fixed distance from a line?
Parallel lines on both sides, with rounded ends.
-
What is the locus of points equidistant from two points?
The perpendicular bisector of the line joining them.
-
What is the locus of points equidistant from two lines?
The bisector of the angle between the lines.
-
What does "less than 3 cm from \(P\)" mean?
The region inside the circle of radius 3 cm around \(P\).
-
What does "closer to \(A\) than to \(B\)" mean?
The side of the perpendicular bisector that contains \(A\).
-
What does "within 5 m of a wall" mean?
Inside the parallel line drawn 5 m from the wall.
-
How do you find a region with several rules?
Draw each locus and shade the area where all the rules are true.
-
Why use a scale drawing?
To fit a real situation on the paper.
-
What should you leave on a locus drawing?
The construction arcs.
-
Which instruments are needed?
A ruler and a pair of compasses.
-
How accurate should a locus drawing be?
Within about 2 mm.
-
What is the boundary of a region called?
The locus or edge that separates the shaded part.
-
What does "equidistant" mean?
The same distance from two or more things.