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Question
Use the image to answer the question.
A parallelogram has its vertices labeled upper A upper B upper C upper D. Two sets of opposite sides are marked as congruent.
Prove that quadrilateral ABCD is a parallelogram. How do you know that the figure is a parallelogram?
(1 point)
Responses
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.
Opposite sides of the figure are congruent.
Opposite sides of the figure are congruent.
Adjacent sides of the figure are congruent.
1 answer
To prove that quadrilateral ABCD is a parallelogram, we can use the information given about the sides.
The correct response is:
Opposite sides of the figure are congruent.
In a parallelogram, one of the key properties is that both pairs of opposite sides are congruent. Since the problem states that two sets of opposite sides are marked as congruent, we can conclude that quadrilateral ABCD is indeed a parallelogram based on this property.
