Understand loci as paths satisfying a geometric condition, and construct the locus of points equidistant from given references.
The locus of points equidistant from two fixed points is the perpendicular bisector of the segment joining them. The locus of points equidistant from two lines is the angle bisector.
What is the locus of points equidistant from points A and B?
The perpendicular bisector of segment AB
What is the locus of points equidistant from two intersecting lines?
The bisectors of the angles formed by the two lines
The locus of points at a fixed distance from a point is a circle. The locus of points at a fixed distance from a line is a pair of parallel lines.
What is the locus of points 5 cm from a fixed point O?
A circle of radius 5 cm centred at O
What is the locus of points 3 cm from a given line l?
Two lines parallel to l, one on each side, 3 cm away
1. What is the locus of points equidistant from two fixed points P and Q?
2. What is the locus of points 6 cm from a fixed point?
3. What is the locus of points equidistant from the two arms of an angle?
4. What is the locus of points 4 cm from a given line?
5. A point moves so it's always 5 cm from a fixed line. What shape does the locus form?