AI generatedGeometry and measuresKS3 / GCSE

Locus equidistant from two points

Locus equidistant from two points.

  • A locus is the set of all points satisfying a distance rule.
  • Distance to a straight line is always measured perpendicularly.
  • For two conditions, keep only the region satisfying both.

Example 1

Draw the locus of points equidistant from A and .

Construction: given informationAB
The perpendicular bisector of .
Construction: given informationAB

Use equal compass radii greater than half . Draw arcs from A and crossing above and below . Join the two intersections.

Example 2

Draw the locus of points equidistant from A and .

Construction: given informationAB
The perpendicular bisector of .
Construction: given informationAB

Use equal compass radii greater than half . Draw arcs from A and crossing above and below . Join the two intersections.

Your turn

Question 1

Draw the locus of points equidistant from A and .

Construction: given informationAB
Check answer
The perpendicular bisector of .
Construction: given informationAB

Use equal compass radii greater than half . Draw arcs from A and crossing above and below . Join the two intersections.

Question 2

Draw the locus of points equidistant from A and .

Construction: given informationAB
Check answer
The perpendicular bisector of .
Construction: given informationAB

Use equal compass radii greater than half . Draw arcs from A and crossing above and below . Join the two intersections.

Question 3

Draw the locus of points equidistant from A and .

Construction: given informationAB
Check answer
The perpendicular bisector of .
Construction: given informationAB

Use equal compass radii greater than half . Draw arcs from A and crossing above and below . Join the two intersections.

Question 4

Draw the locus of points equidistant from A and .

Construction: given informationAB
Check answer
The perpendicular bisector of .
Construction: given informationAB

Use equal compass radii greater than half . Draw arcs from A and crossing above and below . Join the two intersections.

Question 5

Draw the locus of points equidistant from A and .

Construction: given informationAB
Check answer
The perpendicular bisector of .
Construction: given informationAB

Use equal compass radii greater than half . Draw arcs from A and crossing above and below . Join the two intersections.