Question

Does the Converse of the Angle Bisector Theorem apply if the point is in the exterior of the angle? Explain your reasoning.

Answer 1

@campbell_st

Answer 2

@primeralph

Answer 3

@AravindG

Answer 4

@Jack1

Answer 5

What is the theorem?

Answer 6

The angle bisector theorem if a point lies on the bisector of an angle, then it is equidistant from the sides of the angle

Answer 7

The converse of the angle bisector theorem is if a point (on the interior of an angle) is equidistant from the sides of the angle, then it lies on the bisector of the angle

Answer 8

But how do I solve the last part.?

Answer 9

What's there to solve?

Answer 10

Does it apply to the exterior?

Answer 11

Then it depends on the kind of line you draw as the reference.
What are you trying to prove? The converse?

Answer 12

yes, the converse