Which is true about the bisector of the vertex angle of an isosceles triangle?

Which is true about the bisector of the vertex angle of an isosceles triangle?

Isosceles Triangle Theorem: The angle bisector of the vertex angle in an isosceles triangle is also the perpendicular bisector to the base. The converses of the Base Angles Theorem and the Isosceles Triangle Theorem are both true.

Does a perpendicular bisect the vertex angle?

The base angles theorem converse states if two angles in a triangle are congruent, then the sides opposite those angles are also congruent. The Isosceles Triangle Theorem states that the perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex angle.

Is angle bisector perpendicular in isosceles triangle?

Is an angle bisector always perpendicular to the opposite side?

4. If the bisector of an angle in a triangle is perpendicular to the opposite side, the triangle is isosceles. A point is on the perpendicular bisector of a line segment if and only if it lies the same distance from the two endpoints.

What is the difference between bisector and perpendicular bisector?

A (segment) bisector is any segment, line, or ray that splits another segment into two congruent parts. A perpendicular bisector is a special, more specific form of a segment bisector. In addition to splitting another segment into two equal parts, it also forms a right angle (90˚) with said segment.

Does the angle bisector of the vertex angle of an isosceles triangle create two congruent triangles if so how?

An angle bisector in a triangle also bisects the opposite side. The angle bisector of the vertex angle of an isosceles triangle divides the triangle into two congruent triangles.

Does perpendicular bisector bisect angle also?

And, a bisector is a line that divides a line into two equal halves. Thus, a perpendicular bisector of a line segment AB implies that it intersects AB at 90 degrees and cuts it into two equal halves….What is Perpendicular Bisector Theorem?