Question

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) adjacent sides of the figure are congruent opposite sides of the figure are congruent adjacent angles of the figure are congruent adjacent sides of the figure are parallel

Explanation:

One of the properties of a parallelogram is that its opposite sides are congruent. In the given figure, the markings on the sides indicate that \(AB = CD\) and \(BC = AD\). This satisfies the condition for a parallelogram based on the congruence of opposite sides. Adjacent sides being congruent would make it a rhombus (a special - case parallelogram but not the general proof here). Adjacent angles being congruent is not a standard parallelogram - defining property. And adjacent sides being parallel is not a valid property for a parallelogram (opposite sides are parallel in a parallelogram).

Answer:

B. Opposite sides of the figure are congruent