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What is the converse of the angle bisector theorem?
If a point is on the bisector of an angle, then it is equidistant from the two sides of the angle-apex
Does the Converse of the Angle Bisector Theorem apply if the point is in the exterior of the angle?
No, it does not.
If a point is equidistant from the two sides of an angle then it is?
on the perpendicular bisector
What divides an angle into 2 congruent angles?
An Angle Bisector
Can the angle bisector of a triangle also be the perpendicular bisector?
Yes. The bisector of one angle of a triangle is the perpendicular bisector of theopposite side if the bisected angle is the vertex angle of an isosceles triangle,or any angle of an equilateral triangle.
What is the converse of the angle bisector theorem?
If a point is on the bisector of an angle, then it is equidistant from the two sides of the angle-apex
How do the Triangle-Angle Bisector Theorem and the Angle Bisector Theorem differ?
They are the same concept, one for the angle and 1 for triangle.Definition of a triangle angle bisector is a line segment that bisects one of the vertex angles of a triangle.Definition of an angle bisector is a ray or line segment that bisects the angle, creating two congruent angles.
Does the Converse of the Angle Bisector Theorem apply if the point is in the exterior of the angle?
No, it does not.
in the figure shown, KJ=?
converse of the angle bisector theorem
What reasons are proof that the angle bisector construction can be used to bisect any angle?
Proposition 3 of Book IV in Euclid's Elements (angle bisector theorem)
What bisects an angle?
The Angle Bisector Theorem states that given triangle and angle bisector AD, where D is on side BC, then . Likewise, the converse is also true. Not sure if this is what you want?
What is the angle bisector concurrency theorem?
the definition of an angle bisector is a line that divides an angle into two equal halves. So you need only invoke the definition to prove something is an angle bisector if you already know that the two angles are congruent.
State the Perpendicular Bisector Theorem and its converse as a biconditional?
Biconditional Statement for: Perpendicular Bisector Theorem: A point is equidistant if and only if the point is on the perpendicular bisector of a segment. Converse of the Perpendicular Bisector Theorem: A point is on the perpendicular bisector of the segment if and only if the point is equidistant from the endpoints of a segment.
If a point is equidistant from the two sides of an angle then it is?
on the perpendicular bisector
What is the difference between and angle bisector and a perpendicular bisector?
An angle bisector bisects an angle. A perpendicular bisector bisects a side.
Does rhombus have angle bisector?
Any shape which has an angle can have an angle bisector.
What theorem is used to prove a segment is a bisector?
A segment need not be a bisector. No theorem can be used to prove something that may not be true!
