Use the image to answer the question.Prove that quadrilateral ABCD  is a parallelogram. How do you know that the figure is a parallelogram?(1 point)ResponsesOpposite sides of the figure are congruent.Opposite sides of the figure are congruent.Adjacent sides of the figure are congruent.Adjacent sides of the figure are congruent.Adjacent angles of the figure are congruent.Adjacent angles of the figure are congruent.Adjacent sides of the figure are parallel.Adjacent sides of the figure are parallel.

1 answer

To prove that quadrilateral ABCD is a parallelogram, you can utilize the property about opposite sides of a parallelogram. The correct response is:

Opposite sides of the figure are congruent.

In a parallelogram, a fundamental property is that both pairs of opposite sides are equal in length. If you have the lengths of the sides, showing that AB = CD and AD = BC will suffice to prove that ABCD is a parallelogram. If the lengths match as stated, then you can conclude that quadrilateral ABCD is indeed a parallelogram based on this property.