Locus a fixed distance from a line segment
Locus a fixed distance from a line segment.
- 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 exactly 3 cm from the finite segment
Measure perpendicular distance beside the segment. Beyond each endpoint the nearest point is the endpoint, so use a semicircle.
Example 2
Draw the locus exactly 4 cm from the finite segment
Measure perpendicular distance beside the segment. Beyond each endpoint the nearest point is the endpoint, so use a semicircle.
Your turn
Draw the locus exactly 5 cm from the finite segment
Check answer
Measure perpendicular distance beside the segment. Beyond each endpoint the nearest point is the endpoint, so use a semicircle.
Draw the locus exactly 6 cm from the finite segment
Check answer
Measure perpendicular distance beside the segment. Beyond each endpoint the nearest point is the endpoint, so use a semicircle.
Draw the locus exactly 7 cm from the finite segment
Check answer
Measure perpendicular distance beside the segment. Beyond each endpoint the nearest point is the endpoint, so use a semicircle.
Draw the locus exactly 8 cm from the finite segment
Check answer
Measure perpendicular distance beside the segment. Beyond each endpoint the nearest point is the endpoint, so use a semicircle.
Draw the locus exactly 9 cm from the finite segment
Check answer
Measure perpendicular distance beside the segment. Beyond each endpoint the nearest point is the endpoint, so use a semicircle.
Draw the locus exactly 5 cm from the finite segment
Measure perpendicular distance beside the segment. Beyond each endpoint the nearest point is the endpoint, so use a semicircle.
Draw the locus exactly 6 cm from the finite segment
Measure perpendicular distance beside the segment. Beyond each endpoint the nearest point is the endpoint, so use a semicircle.
Draw the locus exactly 7 cm from the finite segment
Measure perpendicular distance beside the segment. Beyond each endpoint the nearest point is the endpoint, so use a semicircle.
Draw the locus exactly 8 cm from the finite segment
Measure perpendicular distance beside the segment. Beyond each endpoint the nearest point is the endpoint, so use a semicircle.
Draw the locus exactly 9 cm from the finite segment
Measure perpendicular distance beside the segment. Beyond each endpoint the nearest point is the endpoint, so use a semicircle.