| |
|
|
| |
 |
| Locus of a point equidistant from two intersecting lines |
|
| |
 |
| |
Draw two intersecting lines l and m intersecting at O. Draw OA the
bisector of  . Mark E on OA.
Draw EB and EC perpendicular to OB and OC respectively. EB and EC are the distances of E from OB and OC respectively. |
| |
| Measure EB and EC and compare their lengths. What do you find? |
| |
| EB=EC |
| |
| Similarly take some more points on the
bisector of . From each point on OA draw perpendiculars to OB and OC. You will find that the
perpendicular distance from any point on the bisector of
on OB and OC always to be equal. This means the locus of a point equidistant from two intersecting lines is the union of the pair of lines bisecting the angles formed by the given lines. |
| |
|
|
| |
|
|
| |
|
|
|
|
Get FREE Live Tutoring
(No credit card required)
Customer Care
Click to get customer service, technical support and subscription help.
Refer-A-Friend
Get One Month Free!
When you refer a friend
|
|
|
