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 sides of the figure are congruent.
Adjacent sides 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 angles of the figure are congruent.
Adjacent angles of the figure are congruent.
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1 answer
To prove that quadrilateral ABCD is a parallelogram, we can use the property that if both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
Since it is given that two sets of opposite sides of quadrilateral ABCD are marked as congruent, we can conclude that:
Opposite sides of the figure are congruent.
Therefore, the correct response is:
Opposite sides of the figure are congruent.
