Which of these sentences is always true for a parallelogram?

A.All sides are congruent.

B. All angles are congruent.

c.The diagonals are congruent.

D. Opposite angles are congruent.

Respuesta :

Answer:

D. Opposite angles are congruent

With option A, we can see that it is clearly wrong, in a parallelogram, only the opposite sides are congruent, if all of the sides are congruent then the shape is more likely to be a square or a rhombus.

With option B, only the opposites angles are congruent. If all four angles are congruent, that will be more likely to be true when we consider a square or a rectangle.

With option C, it is also wrong, unless the shape is a rhombus, square or rectangle.

That leaves us with the last option which is D.