Find the locus of points in the plane that are equidistant from the sides of .
A) the perpendicular-bisector of
B) the bisector of
C) the circle with center B and radius length BC
D) None of These

Question

Find the locus of points in the plane that are equidistant from the sides of  .
A) the perpendicular-bisector of 
B) the bisector of 
C) the circle with center B and radius length BC 
D) None of These

Quizplus · Accepted Answer

The locus of points equidistant from two lines is the angle bisector of the angle formed by those two lines. Therefore, the locus of points equidistant from the sides of triangle ABC is the angle bisector of angle BAC, which is choice B. The perpendicular bisector of side BC (choice A) and the circle with center B and radius BC (choice C) are not correct.

Find the Locus of Points in the Plane That Are