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Construct Angle Bisectors

True or False: The angle bisector of an equilateral triangle's interior angle coincides with the altitude of the triangle.

True or False: The angle bisector of an exterior angle of a triangle is also an angle bisector of one of the triangle's interior angles.

True or False: Constructing an angle bisector divides an angle into two angles with equal measures.

True or False: An angle bisector divides an angle into three equal parts.

True or False: The angle bisector of an isosceles triangle's vertex angle is also a median of the triangle.

True or False: It is impossible to construct an angle bisector for an angle measuring 180 degrees.

True or False: Constructing an angle bisector is only applicable to acute angles.

True or False: The angle bisector of a straight angle coincides with the angle itself.

True or False: It is impossible to construct an angle bisector for an obtuse angle using a compass and straightedge.

True or False: Constructing an angle bisector for a right angle results in two right angles.