AI generatedGeometry and measuresKS3 / GCSE

Locus equidistant from two intersecting lines

Locus equidistant from two intersecting lines.

  • 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 the two intersecting lines.

Both angle bisectors.
Both angle bisectors

Distance to a line is measured perpendicularly. Include both bisectors, which meet at right angles.

Example 2

Draw the locus of points equidistant from the two intersecting lines.

Both angle bisectors.
Both angle bisectors

Distance to a line is measured perpendicularly. Include both bisectors, which meet at right angles.

Your turn

Question 1

Draw the locus of points equidistant from the two intersecting lines.

Check answer
Both angle bisectors.
Both angle bisectors

Distance to a line is measured perpendicularly. Include both bisectors, which meet at right angles.

Question 2

Draw the locus of points equidistant from the two intersecting lines.

Check answer
Both angle bisectors.
Both angle bisectors

Distance to a line is measured perpendicularly. Include both bisectors, which meet at right angles.

Question 3

Draw the locus of points equidistant from the two intersecting lines.

Check answer
Both angle bisectors.
Both angle bisectors

Distance to a line is measured perpendicularly. Include both bisectors, which meet at right angles.

Question 4

Draw the locus of points equidistant from the two intersecting lines.

Check answer
Both angle bisectors.
Both angle bisectors

Distance to a line is measured perpendicularly. Include both bisectors, which meet at right angles.

Question 5

Draw the locus of points equidistant from the two intersecting lines.

Check answer
Both angle bisectors.
Both angle bisectors

Distance to a line is measured perpendicularly. Include both bisectors, which meet at right angles.