Which of the following is not a characteristic of all kinds of parallelogram?
A.Diagonals are perpendicular.
B.Consecutive angles are supplementary
C. The opposite sides are congruent.
D.Diagonals bisects each other
To determine which of the given options is not a characteristic of all kinds of parallelograms, let's go through each option one by one:
A. Diagonals are perpendicular: This is not true for all kinds of parallelograms. While the diagonals of a rectangle are indeed perpendicular, the diagonals of a non-rectangular parallelogram are not necessarily perpendicular.
B. Consecutive angles are supplementary: This is a characteristic of all kinds of parallelograms. In any parallelogram, the consecutive angles (i.e., angles next to each other) are always supplementary, meaning their measures add up to 180 degrees.
C. The opposite sides are congruent: This is a characteristic of all kinds of parallelograms. In any parallelogram, the opposite sides are always congruent, meaning they have the same length.
D. Diagonals bisect each other: This is true for all kinds of parallelograms. In any parallelogram, the diagonals bisect each other, meaning they divide each other into two equal parts.
Therefore, the characteristic that is not true for all kinds of parallelograms is A. Diagonals are perpendicular.