8. Given: Four properties:
A. Diagonals bisect each other.
B. Diagonals are perpendicular.
C. Diagonals are congurent.
D. Diagonals bisect opposite angles.
A. Diagonals bisect each other is always true for paralleogram.
B. No, diagonals of a parallelogram are not perpendicular to each other, because they only bisect each other.
C. Diagonals are not always congruent in paralleogram. If the diagonals are cognruent then the figure is a rectangle.
D. The diagonals bisect opposite angles only if the sides are all of equal length like in a square.
Thus, among the given properties, the one which is always true for a paralleogram is:
A. Diagonals bisect each other.