The answer depends on what information you do have and what is missing. There is no single answer for all situations.
The intersection of the bisectors of the angles. (Sorry _ my original answer, the bisectors of the sides, was clearly wrong.)
4 sides are equal Diagonals are equal and Perp Bisectors Angles are right Consecutive and diagonal angles add up to 180.
Congruent (APEX) :P
Angle bisectors are.
Moderates
The intersection of the bisectors of the angles. (Sorry _ my original answer, the bisectors of the sides, was clearly wrong.)
The incentre, the point where the bisectors of the angles meet.
The bisectors of the angles of a triangle are concurrent at a point called the incentre which is also the centre of the inscribed circle that touches all three sides.
The centroid or centre of gravity. It will also be the point where the bisectors of the angles, and the perpendicular bisectors of the sides meet.
If it is a parallelogram, then it has two sets of parallelogram sides. Parallelograms' opposite angles are congruent A parallelogram's bisectors are congruent. * * * * * A parallelogram's bisectors are NOT congruent.
4 sides are equal Diagonals are equal and Perp Bisectors Angles are right Consecutive and diagonal angles add up to 180.
Only two, from the midpoints to midpoints of each of the two facing sides.
Oh, what a happy little question! The type of triangle you're describing is called an equilateral triangle. In an equilateral triangle, all three angles are equal, and the angle bisectors are also the perpendicular bisectors of the sides, creating a beautiful balance in the painting of geometry.
The two angle bisectors of a triangle are congruent the those two angles are congruent. The angles are bisected the same meaning that the whole and half angle are the same. For example if they are bisected at the whole angle 50 each, then each half is 25. The bisectors really don't mean anything and all you need is 50 to know it's isosceles. 50 and 50 is 100 and the left over for the last angle is 80 adding to 180. AND overall any 2 congruent angles in a triangle have the same congruent legs making it isosceles.
Congruent (APEX) :P
When yo connect the midpoints of THE SIDES OF squares you get a square.
Angle bisectors intersect at the incenter which is equidistant from the sides